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Finding the Fourth Proportional to 149.11, 205.66 and 99.97

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Solution

The fourth proportional to 149.11, 205.66 and 99.97 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.11 : 205.66 = 99.97 : x
  2. Step 2: Convert to fraction form
    149.11/205.66 = 99.97/x
  3. Step 3: Cross multiply
    149.11x = 205.66 × 99.97
  4. Step 4: Simplify right side
    149.11x = 20,559.58
  5. Step 5: Solve for x
    x = 20,559.58/149.11
  6. Step 6: Final answer
    x = 137.88

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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.