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Finding the Fourth Proportional to 99.05, 149.13 and 72.18

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Solution

The fourth proportional to 99.05, 149.13 and 72.18 is: 108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.05 : 149.13 = 72.18 : x
  2. Step 2: Convert to fraction form
    99.05/149.13 = 72.18/x
  3. Step 3: Cross multiply
    99.05x = 149.13 × 72.18
  4. Step 4: Simplify right side
    99.05x = 10,764.20
  5. Step 5: Solve for x
    x = 10,764.20/99.05
  6. Step 6: Final answer
    x = 108.68

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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.