You Do Need power plug adapter while traveling from Pitcairn Islands to Saudi Arabia.

Here is Why You Need An Adapter

The outlet and plug type used in Saudi Arabia is G and in Pitcairn Islands is I. This is how they look like.

Pitcairn Islands

In Pitcairn Islands, outlets of type I are in use.

Type I

Saudi Arabia

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

Type G