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

Here is Why You Need An Adapter

The outlet and plug type used in Saudi Arabia is G and in British Virgin Islands are A and B. This is how they look like.

British Virgin Islands

In British Virgin Islands, outlets of type A and B are in use.

Type A

Type B

Saudi Arabia

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

Type G