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Finding the Fourth Proportional to 542.46, 813.68 and 268.27

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Solution

The fourth proportional to 542.46, 813.68 and 268.27 is: 402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 813.68 = 268.27 : x
  2. Step 2: Convert to fraction form
    542.46/813.68 = 268.27/x
  3. Step 3: Cross multiply
    542.46x = 813.68 × 268.27
  4. Step 4: Simplify right side
    542.46x = 218,285.93
  5. Step 5: Solve for x
    x = 218,285.93/542.46
  6. Step 6: Final answer
    x = 402.40

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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.