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Finding the Fourth Proportional to 151.76, 209.36 and 93.57

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Solution

The fourth proportional to 151.76, 209.36 and 93.57 is: 129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.76 : 209.36 = 93.57 : x
  2. Step 2: Convert to fraction form
    151.76/209.36 = 93.57/x
  3. Step 3: Cross multiply
    151.76x = 209.36 × 93.57
  4. Step 4: Simplify right side
    151.76x = 19,589.35
  5. Step 5: Solve for x
    x = 19,589.35/151.76
  6. Step 6: Final answer
    x = 129.09

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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.