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Finding the Fourth Proportional to 151.64, 209.25 and 86.15

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Solution

The fourth proportional to 151.64, 209.25 and 86.15 is: 118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.64 : 209.25 = 86.15 : x
  2. Step 2: Convert to fraction form
    151.64/209.25 = 86.15/x
  3. Step 3: Cross multiply
    151.64x = 209.25 × 86.15
  4. Step 4: Simplify right side
    151.64x = 18,026.23
  5. Step 5: Solve for x
    x = 18,026.23/151.64
  6. Step 6: Final answer
    x = 118.88

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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.