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Finding the Fourth Proportional to 166.93, 249.88 and 142.33

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Solution

The fourth proportional to 166.93, 249.88 and 142.33 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.93 : 249.88 = 142.33 : x
  2. Step 2: Convert to fraction form
    166.93/249.88 = 142.33/x
  3. Step 3: Cross multiply
    166.93x = 249.88 × 142.33
  4. Step 4: Simplify right side
    166.93x = 35,565.42
  5. Step 5: Solve for x
    x = 35,565.42/166.93
  6. Step 6: Final answer
    x = 213.06

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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.