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Finding the Fourth Proportional to 269.43, 371.72 and 157.34

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Solution

The fourth proportional to 269.43, 371.72 and 157.34 is: 217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.43 : 371.72 = 157.34 : x
  2. Step 2: Convert to fraction form
    269.43/371.72 = 157.34/x
  3. Step 3: Cross multiply
    269.43x = 371.72 × 157.34
  4. Step 4: Simplify right side
    269.43x = 58,487.75
  5. Step 5: Solve for x
    x = 58,487.75/269.43
  6. Step 6: Final answer
    x = 217.08

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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.