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Finding the Fourth Proportional to 151.75, 209.42 and 82.75

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Solution

The fourth proportional to 151.75, 209.42 and 82.75 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.75 : 209.42 = 82.75 : x
  2. Step 2: Convert to fraction form
    151.75/209.42 = 82.75/x
  3. Step 3: Cross multiply
    151.75x = 209.42 × 82.75
  4. Step 4: Simplify right side
    151.75x = 17,329.09
  5. Step 5: Solve for x
    x = 17,329.09/151.75
  6. Step 6: Final answer
    x = 114.20

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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.