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Finding the Fourth Proportional to 542.52, 814.14 and 269.28

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Solution

The fourth proportional to 542.52, 814.14 and 269.28 is: 404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.52 : 814.14 = 269.28 : x
  2. Step 2: Convert to fraction form
    542.52/814.14 = 269.28/x
  3. Step 3: Cross multiply
    542.52x = 814.14 × 269.28
  4. Step 4: Simplify right side
    542.52x = 219,231.62
  5. Step 5: Solve for x
    x = 219,231.62/542.52
  6. Step 6: Final answer
    x = 404.10

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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.