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Finding the Fourth Proportional to 269.13, 371.35 and 158.61

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Solution

The fourth proportional to 269.13, 371.35 and 158.61 is: 218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.13 : 371.35 = 158.61 : x
  2. Step 2: Convert to fraction form
    269.13/371.35 = 158.61/x
  3. Step 3: Cross multiply
    269.13x = 371.35 × 158.61
  4. Step 4: Simplify right side
    269.13x = 58,899.82
  5. Step 5: Solve for x
    x = 58,899.82/269.13
  6. Step 6: Final answer
    x = 218.85

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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.