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Finding the Fourth Proportional to 269.30, 371.04 and 225.56

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Solution

The fourth proportional to 269.30, 371.04 and 225.56 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.30 : 371.04 = 225.56 : x
  2. Step 2: Convert to fraction form
    269.30/371.04 = 225.56/x
  3. Step 3: Cross multiply
    269.30x = 371.04 × 225.56
  4. Step 4: Simplify right side
    269.30x = 83,691.78
  5. Step 5: Solve for x
    x = 83,691.78/269.30
  6. Step 6: Final answer
    x = 310.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.