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Finding the Fourth Proportional to 542.96, 814.58 and 158.21

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Solution

The fourth proportional to 542.96, 814.58 and 158.21 is: 237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.96 : 814.58 = 158.21 : x
  2. Step 2: Convert to fraction form
    542.96/814.58 = 158.21/x
  3. Step 3: Cross multiply
    542.96x = 814.58 × 158.21
  4. Step 4: Simplify right side
    542.96x = 128,874.70
  5. Step 5: Solve for x
    x = 128,874.70/542.96
  6. Step 6: Final answer
    x = 237.36

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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.