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Finding the Fourth Proportional to 269.50, 371.90 and 158.97

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Solution

The fourth proportional to 269.50, 371.90 and 158.97 is: 219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.50 : 371.90 = 158.97 : x
  2. Step 2: Convert to fraction form
    269.50/371.90 = 158.97/x
  3. Step 3: Cross multiply
    269.50x = 371.90 × 158.97
  4. Step 4: Simplify right side
    269.50x = 59,120.15
  5. Step 5: Solve for x
    x = 59,120.15/269.50
  6. Step 6: Final answer
    x = 219.37

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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.