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Finding the Fourth Proportional to 99.11, 146.98 and 97.75

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Solution

The fourth proportional to 99.11, 146.98 and 97.75 is: 144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.11 : 146.98 = 97.75 : x
  2. Step 2: Convert to fraction form
    99.11/146.98 = 97.75/x
  3. Step 3: Cross multiply
    99.11x = 146.98 × 97.75
  4. Step 4: Simplify right side
    99.11x = 14,366.68
  5. Step 5: Solve for x
    x = 14,366.68/99.11
  6. Step 6: Final answer
    x = 144.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.