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Finding the Fourth Proportional to 151.22, 209.22 and 131.85

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Solution

The fourth proportional to 151.22, 209.22 and 131.85 is: 182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.22 : 209.22 = 131.85 : x
  2. Step 2: Convert to fraction form
    151.22/209.22 = 131.85/x
  3. Step 3: Cross multiply
    151.22x = 209.22 × 131.85
  4. Step 4: Simplify right side
    151.22x = 27,585.66
  5. Step 5: Solve for x
    x = 27,585.66/151.22
  6. Step 6: Final answer
    x = 182.43

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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.