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Finding the Fourth Proportional to 542.38, 748.28 and 309.38

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Solution

The fourth proportional to 542.38, 748.28 and 309.38 is: 426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.38 : 748.28 = 309.38 : x
  2. Step 2: Convert to fraction form
    542.38/748.28 = 309.38/x
  3. Step 3: Cross multiply
    542.38x = 748.28 × 309.38
  4. Step 4: Simplify right side
    542.38x = 231,502.87
  5. Step 5: Solve for x
    x = 231,502.87/542.38
  6. Step 6: Final answer
    x = 426.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.