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Finding the Fourth Proportional to 269.61, 371.96 and 169.97

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Solution

The fourth proportional to 269.61, 371.96 and 169.97 is: 234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.61 : 371.96 = 169.97 : x
  2. Step 2: Convert to fraction form
    269.61/371.96 = 169.97/x
  3. Step 3: Cross multiply
    269.61x = 371.96 × 169.97
  4. Step 4: Simplify right side
    269.61x = 63,219.33
  5. Step 5: Solve for x
    x = 63,219.33/269.61
  6. Step 6: Final answer
    x = 234.48

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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.