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Finding the Fourth Proportional to 149.22, 205.87 and 83.71

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Solution

The fourth proportional to 149.22, 205.87 and 83.71 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.22 : 205.87 = 83.71 : x
  2. Step 2: Convert to fraction form
    149.22/205.87 = 83.71/x
  3. Step 3: Cross multiply
    149.22x = 205.87 × 83.71
  4. Step 4: Simplify right side
    149.22x = 17,233.38
  5. Step 5: Solve for x
    x = 17,233.38/149.22
  6. Step 6: Final answer
    x = 115.49

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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.