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Finding the Fourth Proportional to 166.57, 229.85 and 109.69

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Solution

The fourth proportional to 166.57, 229.85 and 109.69 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.57 : 229.85 = 109.69 : x
  2. Step 2: Convert to fraction form
    166.57/229.85 = 109.69/x
  3. Step 3: Cross multiply
    166.57x = 229.85 × 109.69
  4. Step 4: Simplify right side
    166.57x = 25,212.25
  5. Step 5: Solve for x
    x = 25,212.25/166.57
  6. Step 6: Final answer
    x = 151.36

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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.