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Finding the Fourth Proportional to 269.68, 402.05 and 251.44

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Solution

The fourth proportional to 269.68, 402.05 and 251.44 is: 374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 402.05 = 251.44 : x
  2. Step 2: Convert to fraction form
    269.68/402.05 = 251.44/x
  3. Step 3: Cross multiply
    269.68x = 402.05 × 251.44
  4. Step 4: Simplify right side
    269.68x = 101,091.45
  5. Step 5: Solve for x
    x = 101,091.45/269.68
  6. Step 6: Final answer
    x = 374.86

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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.