Ray casting = where does a ray intersect an object

Ray tracing = ray casting from the camera and where an object intersects trace rays (with ray casting) to light sources and reflective materials (Turner Whitted).

Path tracing = ray tracing but when you hit an object start ray casting from that point as bounce and gather all energy so you can send it back to the camera (James Kajiya ?).

So to me path tracing is just a method (extension) of ray tracing.