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Finding the Fourth Proportional to 542.31, 814.28 and 311.46

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Solution

The fourth proportional to 542.31, 814.28 and 311.46 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.31 : 814.28 = 311.46 : x
  2. Step 2: Convert to fraction form
    542.31/814.28 = 311.46/x
  3. Step 3: Cross multiply
    542.31x = 814.28 × 311.46
  4. Step 4: Simplify right side
    542.31x = 253,614.09
  5. Step 5: Solve for x
    x = 253,614.09/542.31
  6. Step 6: Final answer
    x = 467.66

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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.