Identify the missing number in the following number sequence. 20, 15, 40, 30, 120, 90, ?, 360

The pattern shows two interleaved series: 20, 40, 120, ? (multiply by 2, then 3, then ?) and 15, 30, 90, 360 (multiply by 2, 3, 4). For the first series: 20×2=40, 40×3=120, 120×(90/30)=120×3=360 doesn't fit; actually the missing term before 360 should be 270 (90×3=270).