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Finding the Fourth Proportional to 521.31, 781.98 and 306.27

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Solution

The fourth proportional to 521.31, 781.98 and 306.27 is: 459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.31 : 781.98 = 306.27 : x
  2. Step 2: Convert to fraction form
    521.31/781.98 = 306.27/x
  3. Step 3: Cross multiply
    521.31x = 781.98 × 306.27
  4. Step 4: Simplify right side
    521.31x = 239,497.01
  5. Step 5: Solve for x
    x = 239,497.01/521.31
  6. Step 6: Final answer
    x = 459.41

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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.