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Finding the Fourth Proportional to 498.30, 747.45 and 361.61

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Solution

The fourth proportional to 498.30, 747.45 and 361.61 is: 542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.30 : 747.45 = 361.61 : x
  2. Step 2: Convert to fraction form
    498.30/747.45 = 361.61/x
  3. Step 3: Cross multiply
    498.30x = 747.45 × 361.61
  4. Step 4: Simplify right side
    498.30x = 270,289.68
  5. Step 5: Solve for x
    x = 270,289.68/498.30
  6. Step 6: Final answer
    x = 542.42

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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.