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Finding the Fourth Proportional to 166.97, 251.35 and 128.66

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Solution

The fourth proportional to 166.97, 251.35 and 128.66 is: 193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 251.35 = 128.66 : x
  2. Step 2: Convert to fraction form
    166.97/251.35 = 128.66/x
  3. Step 3: Cross multiply
    166.97x = 251.35 × 128.66
  4. Step 4: Simplify right side
    166.97x = 32,338.69
  5. Step 5: Solve for x
    x = 32,338.69/166.97
  6. Step 6: Final answer
    x = 193.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.