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Finding the Fourth Proportional to 542.57, 814.32 and 311.58

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Solution

The fourth proportional to 542.57, 814.32 and 311.58 is: 467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 814.32 = 311.58 : x
  2. Step 2: Convert to fraction form
    542.57/814.32 = 311.58/x
  3. Step 3: Cross multiply
    542.57x = 814.32 × 311.58
  4. Step 4: Simplify right side
    542.57x = 253,725.83
  5. Step 5: Solve for x
    x = 253,725.83/542.57
  6. Step 6: Final answer
    x = 467.64

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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.