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Finding the Fourth Proportional to 269.38, 371.64 and 158.81

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Solution

The fourth proportional to 269.38, 371.64 and 158.81 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.38 : 371.64 = 158.81 : x
  2. Step 2: Convert to fraction form
    269.38/371.64 = 158.81/x
  3. Step 3: Cross multiply
    269.38x = 371.64 × 158.81
  4. Step 4: Simplify right side
    269.38x = 59,020.15
  5. Step 5: Solve for x
    x = 59,020.15/269.38
  6. Step 6: Final answer
    x = 219.10

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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.