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Finding the Fourth Proportional to 151.82, 209.49 and 85.42

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Solution

The fourth proportional to 151.82, 209.49 and 85.42 is: 117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.82 : 209.49 = 85.42 : x
  2. Step 2: Convert to fraction form
    151.82/209.49 = 85.42/x
  3. Step 3: Cross multiply
    151.82x = 209.49 × 85.42
  4. Step 4: Simplify right side
    151.82x = 17,894.64
  5. Step 5: Solve for x
    x = 17,894.64/151.82
  6. Step 6: Final answer
    x = 117.87

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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.