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Finding the Fourth Proportional to 166.33, 249.72 and 142.11

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Solution

The fourth proportional to 166.33, 249.72 and 142.11 is: 213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.33 : 249.72 = 142.11 : x
  2. Step 2: Convert to fraction form
    166.33/249.72 = 142.11/x
  3. Step 3: Cross multiply
    166.33x = 249.72 × 142.11
  4. Step 4: Simplify right side
    166.33x = 35,487.25
  5. Step 5: Solve for x
    x = 35,487.25/166.33
  6. Step 6: Final answer
    x = 213.35

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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.