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Finding the Fourth Proportional to 542.57, 814.02 and 157.82

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Solution

The fourth proportional to 542.57, 814.02 and 157.82 is: 236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 814.02 = 157.82 : x
  2. Step 2: Convert to fraction form
    542.57/814.02 = 157.82/x
  3. Step 3: Cross multiply
    542.57x = 814.02 × 157.82
  4. Step 4: Simplify right side
    542.57x = 128,463.78
  5. Step 5: Solve for x
    x = 128,463.78/542.57
  6. Step 6: Final answer
    x = 236.77

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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.