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Finding the Fourth Proportional to 151.72, 209.42 and 89.57

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Solution

The fourth proportional to 151.72, 209.42 and 89.57 is: 123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 209.42 = 89.57 : x
  2. Step 2: Convert to fraction form
    151.72/209.42 = 89.57/x
  3. Step 3: Cross multiply
    151.72x = 209.42 × 89.57
  4. Step 4: Simplify right side
    151.72x = 18,757.75
  5. Step 5: Solve for x
    x = 18,757.75/151.72
  6. Step 6: Final answer
    x = 123.63

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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.