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Finding the Fourth Proportional to 269.20, 402.26 and 226

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Solution

The fourth proportional to 269.20, 402.26 and 226 is: 337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.20 : 402.26 = 226 : x
  2. Step 2: Convert to fraction form
    269.20/402.26 = 226/x
  3. Step 3: Cross multiply
    269.20x = 402.26 × 226
  4. Step 4: Simplify right side
    269.20x = 90,910.76
  5. Step 5: Solve for x
    x = 90,910.76/269.20
  6. Step 6: Final answer
    x = 337.71

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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.