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Finding the Fourth Proportional to 492.32, 737.40 and 362

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Solution

The fourth proportional to 492.32, 737.40 and 362 is: 542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.32 : 737.40 = 362 : x
  2. Step 2: Convert to fraction form
    492.32/737.40 = 362/x
  3. Step 3: Cross multiply
    492.32x = 737.40 × 362
  4. Step 4: Simplify right side
    492.32x = 266,938.80
  5. Step 5: Solve for x
    x = 266,938.80/492.32
  6. Step 6: Final answer
    x = 542.21

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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.