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Finding the Fourth Proportional to 269.71, 371.46 and 232.85

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Solution

The fourth proportional to 269.71, 371.46 and 232.85 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.71 : 371.46 = 232.85 : x
  2. Step 2: Convert to fraction form
    269.71/371.46 = 232.85/x
  3. Step 3: Cross multiply
    269.71x = 371.46 × 232.85
  4. Step 4: Simplify right side
    269.71x = 86,493.30
  5. Step 5: Solve for x
    x = 86,493.30/269.71
  6. Step 6: Final answer
    x = 320.70

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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.