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Finding the Fourth Proportional to 542.46, 813.75 and 177.15

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Solution

The fourth proportional to 542.46, 813.75 and 177.15 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 813.75 = 177.15 : x
  2. Step 2: Convert to fraction form
    542.46/813.75 = 177.15/x
  3. Step 3: Cross multiply
    542.46x = 813.75 × 177.15
  4. Step 4: Simplify right side
    542.46x = 144,155.81
  5. Step 5: Solve for x
    x = 144,155.81/542.46
  6. Step 6: Final answer
    x = 265.74

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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.