The path goal theory of leadership was developed to describe the way that leaders encourage and support their followers on achieving goals they have been set by making the path that they should take clear and easy.

Directive leadership1:2,5:3,9:2 Total =7
Supportive leadership2:3,3:6,5:10 Total=10
Participative leadership3:4,7:5,11:5 Total=14
Achievement- oriented leadership4:3,8:4,12:5=12

The path goal theory of leadership was developed to describe the way that leaders encourage and support their followers on achieving goals they have been set by making the path that they should take clear and easy. the appropriate style depends on two types of situational factors; the characteristics of the follower and that of the environment. The relationship between the leader and the group implies a reciprocal influence.
Each of the four styles of path-goal theory this is how they relate to other styles of leadership;
(1) Authoritarian Vs Participatory leadership
This kind of leadership of Authoritarian, the authoritarian leader makes every decision in the organization. under this kind of leadership everyone knows their set of roles to play. The participatory style is completely opposite of the authoritarian leadership. this style allows majority to decide what is to be done.
(2) Directive leadership vs Free rein style of leadership
The directive leadership is successful in that it allows quick decision making. Unlike a free rein style of leadership, the directive leader makes decision solely without involving the other employees, and is able to set a direction for the team during cases of emergency.
(3) Achievement-oriented leadership vs autocratic decision making
Leaders in achievement-oriented leadership are focused on accomplishments. Achievement-oriented leaders help the workers to understand their challenges and help them to solve them in a number of steps. whereas an Autocratic leader make decisions solely without discussing with team players in the sector, even if their contribution would be useful.
(4) Supportive leadership vs Autocratic leadership
In the Autocratic leadership, the leader is in a position of absolute power to make all the decisions regarding the organization without consulting anyone, even if their contribution is of importance to the final decision. In supportive leadership, the leader influences people rather than instructing them as the case in an autocratic leadership style.