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Finding the Fourth Proportional to 120.97, 180.68 and 99.18

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Solution

The fourth proportional to 120.97, 180.68 and 99.18 is: 148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.97 : 180.68 = 99.18 : x
  2. Step 2: Convert to fraction form
    120.97/180.68 = 99.18/x
  3. Step 3: Cross multiply
    120.97x = 180.68 × 99.18
  4. Step 4: Simplify right side
    120.97x = 17,920.92
  5. Step 5: Solve for x
    x = 17,920.92/120.97
  6. Step 6: Final answer
    x = 148.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.