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Finding the Fourth Proportional to 492, 737.28 and 309.60

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Solution

The fourth proportional to 492, 737.28 and 309.60 is: 463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 737.28 = 309.60 : x
  2. Step 2: Convert to fraction form
    492/737.28 = 309.60/x
  3. Step 3: Cross multiply
    492x = 737.28 × 309.60
  4. Step 4: Simplify right side
    492x = 228,261.89
  5. Step 5: Solve for x
    x = 228,261.89/492
  6. Step 6: Final answer
    x = 463.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.