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Finding the Fourth Proportional to 542.38, 813.84 and 253.75

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Solution

The fourth proportional to 542.38, 813.84 and 253.75 is: 380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.38 : 813.84 = 253.75 : x
  2. Step 2: Convert to fraction form
    542.38/813.84 = 253.75/x
  3. Step 3: Cross multiply
    542.38x = 813.84 × 253.75
  4. Step 4: Simplify right side
    542.38x = 206,511.90
  5. Step 5: Solve for x
    x = 206,511.90/542.38
  6. Step 6: Final answer
    x = 380.75

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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.