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Finding the Fourth Proportional to 151.75, 209.34 and 108.11

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Solution

The fourth proportional to 151.75, 209.34 and 108.11 is: 149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.75 : 209.34 = 108.11 : x
  2. Step 2: Convert to fraction form
    151.75/209.34 = 108.11/x
  3. Step 3: Cross multiply
    151.75x = 209.34 × 108.11
  4. Step 4: Simplify right side
    151.75x = 22,631.75
  5. Step 5: Solve for x
    x = 22,631.75/151.75
  6. Step 6: Final answer
    x = 149.14

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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.