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Finding the Fourth Proportional to 151.71, 209.32 and 89.54

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Solution

The fourth proportional to 151.71, 209.32 and 89.54 is: 123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.71 : 209.32 = 89.54 : x
  2. Step 2: Convert to fraction form
    151.71/209.32 = 89.54/x
  3. Step 3: Cross multiply
    151.71x = 209.32 × 89.54
  4. Step 4: Simplify right side
    151.71x = 18,743.29
  5. Step 5: Solve for x
    x = 18,743.29/151.71
  6. Step 6: Final answer
    x = 123.55

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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.