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Finding the Fourth Proportional to 98.97, 149.11 and 83.04

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Solution

The fourth proportional to 98.97, 149.11 and 83.04 is: 125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 149.11 = 83.04 : x
  2. Step 2: Convert to fraction form
    98.97/149.11 = 83.04/x
  3. Step 3: Cross multiply
    98.97x = 149.11 × 83.04
  4. Step 4: Simplify right side
    98.97x = 12,382.09
  5. Step 5: Solve for x
    x = 12,382.09/98.97
  6. Step 6: Final answer
    x = 125.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.