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Finding the Fourth Proportional to 113.40, 169.42 and 99.02

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Solution

The fourth proportional to 113.40, 169.42 and 99.02 is: 147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 169.42 = 99.02 : x
  2. Step 2: Convert to fraction form
    113.40/169.42 = 99.02/x
  3. Step 3: Cross multiply
    113.40x = 169.42 × 99.02
  4. Step 4: Simplify right side
    113.40x = 16,775.97
  5. Step 5: Solve for x
    x = 16,775.97/113.40
  6. Step 6: Final answer
    x = 147.94

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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.