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Finding the Fourth Proportional to 492.73, 737.36 and 337.61

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Solution

The fourth proportional to 492.73, 737.36 and 337.61 is: 505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.73 : 737.36 = 337.61 : x
  2. Step 2: Convert to fraction form
    492.73/737.36 = 337.61/x
  3. Step 3: Cross multiply
    492.73x = 737.36 × 337.61
  4. Step 4: Simplify right side
    492.73x = 248,940.11
  5. Step 5: Solve for x
    x = 248,940.11/492.73
  6. Step 6: Final answer
    x = 505.23

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Why These Related Problems?

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