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Finding the Fourth Proportional to 111.32, 166.86 and 98.44

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Solution

The fourth proportional to 111.32, 166.86 and 98.44 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.32 : 166.86 = 98.44 : x
  2. Step 2: Convert to fraction form
    111.32/166.86 = 98.44/x
  3. Step 3: Cross multiply
    111.32x = 166.86 × 98.44
  4. Step 4: Simplify right side
    111.32x = 16,425.70
  5. Step 5: Solve for x
    x = 16,425.70/111.32
  6. Step 6: Final answer
    x = 147.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.