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Finding the Fourth Proportional to 269.52, 402.45 and 254.31

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Solution

The fourth proportional to 269.52, 402.45 and 254.31 is: 379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 402.45 = 254.31 : x
  2. Step 2: Convert to fraction form
    269.52/402.45 = 254.31/x
  3. Step 3: Cross multiply
    269.52x = 402.45 × 254.31
  4. Step 4: Simplify right side
    269.52x = 102,347.06
  5. Step 5: Solve for x
    x = 102,347.06/269.52
  6. Step 6: Final answer
    x = 379.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.