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Finding the Fourth Proportional to 542.43, 813.65 and 177.26

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Solution

The fourth proportional to 542.43, 813.65 and 177.26 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.43 : 813.65 = 177.26 : x
  2. Step 2: Convert to fraction form
    542.43/813.65 = 177.26/x
  3. Step 3: Cross multiply
    542.43x = 813.65 × 177.26
  4. Step 4: Simplify right side
    542.43x = 144,222.64
  5. Step 5: Solve for x
    x = 144,222.64/542.43
  6. Step 6: Final answer
    x = 265.88

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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.