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Finding the Fourth Proportional to 542.25, 814.01 and 253.71

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Solution

The fourth proportional to 542.25, 814.01 and 253.71 is: 380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 814.01 = 253.71 : x
  2. Step 2: Convert to fraction form
    542.25/814.01 = 253.71/x
  3. Step 3: Cross multiply
    542.25x = 814.01 × 253.71
  4. Step 4: Simplify right side
    542.25x = 206,521.21
  5. Step 5: Solve for x
    x = 206,521.21/542.25
  6. Step 6: Final answer
    x = 380.86

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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.