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Finding the Fourth Proportional to 151.91, 209.66 and 96.78

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Solution

The fourth proportional to 151.91, 209.66 and 96.78 is: 133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.91 : 209.66 = 96.78 : x
  2. Step 2: Convert to fraction form
    151.91/209.66 = 96.78/x
  3. Step 3: Cross multiply
    151.91x = 209.66 × 96.78
  4. Step 4: Simplify right side
    151.91x = 20,291.72
  5. Step 5: Solve for x
    x = 20,291.72/151.91
  6. Step 6: Final answer
    x = 133.57

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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.