What clearance involves holding west on the 270 radial with the recommended entry procedure?

The clearance that involves holding west on the 270 radial with the recommended entry procedure corresponds to Direct entry. When using a Direct entry method for a holding pattern, you approach the holding fix on a track that is aligned with the inbound course of the hold, allowing for a straightforward path into the holding pattern.

In this case, if you are cleared to hold on the 270 radial, you would fly directly to the fix, and upon reaching it, you would turn in the direction of the holding pattern and commence the hold, maintaining the specified radial as you circle around. The Direct entry is typically used when the aircraft is approaching the hold from a direction that is similar to the inbound course; thus, it simplifies the procedure and ensures a clear understanding of the maneuver.

Other entry methods, such as Teardrop, Held, and Parallel entries, have different approaches which may involve offsets or turns that are not necessary in this circumstance where the initial approach is directly aligned with the holding course.