You Do Need power plug adapter while traveling from South Africa to Saudi Arabia.

Here is Why You Need An Adapter

The outlet and plug type used in Saudi Arabia is G and in South Africa are C, M and N. This is how they look like.

South Africa

In South Africa, outlets of type C, M and N are in use.

Type C

Type M

Type N

Saudi Arabia

In Saudi Arabia, outlets of type G are in use.

Type G