Answer:
As the moon's orbit around the Earth is elliptical, the distance between the moon and the Earth varies.
When it is closest to the Earth (at Perigee), the distance is 363,104 km.
When it is farthest from the Earth (at Apogee), the distance is 405,696 km.
The mean distance is 384,399 km.
Please check the related link for a better idea of this concept. For the Earth's orbit around the Sun, the terms used are Perhelion and Aphelion instead of Perigee and Apogee.
As the Moon orbits our planet, it's distance varies from about 221,000 to 252,000 miles.