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Finding the Fourth Proportional to 166.62, 229.84 and 101.12

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Solution

The fourth proportional to 166.62, 229.84 and 101.12 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.62 : 229.84 = 101.12 : x
  2. Step 2: Convert to fraction form
    166.62/229.84 = 101.12/x
  3. Step 3: Cross multiply
    166.62x = 229.84 × 101.12
  4. Step 4: Simplify right side
    166.62x = 23,240.02
  5. Step 5: Solve for x
    x = 23,240.02/166.62
  6. Step 6: Final answer
    x = 139.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.