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Finding the Fourth Proportional to 542.66, 813.67 and 177.35

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Solution

The fourth proportional to 542.66, 813.67 and 177.35 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.66 : 813.67 = 177.35 : x
  2. Step 2: Convert to fraction form
    542.66/813.67 = 177.35/x
  3. Step 3: Cross multiply
    542.66x = 813.67 × 177.35
  4. Step 4: Simplify right side
    542.66x = 144,299.86
  5. Step 5: Solve for x
    x = 144,299.86/542.66
  6. Step 6: Final answer
    x = 265.91

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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.