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Finding the Fourth Proportional to 166.75, 230.12 and 108.63

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Solution

The fourth proportional to 166.75, 230.12 and 108.63 is: 149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 230.12 = 108.63 : x
  2. Step 2: Convert to fraction form
    166.75/230.12 = 108.63/x
  3. Step 3: Cross multiply
    166.75x = 230.12 × 108.63
  4. Step 4: Simplify right side
    166.75x = 24,997.94
  5. Step 5: Solve for x
    x = 24,997.94/166.75
  6. Step 6: Final answer
    x = 149.91

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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.