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Finding the Fourth Proportional to 166.05, 247.86 and 142.97

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Solution

The fourth proportional to 166.05, 247.86 and 142.97 is: 213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.05 : 247.86 = 142.97 : x
  2. Step 2: Convert to fraction form
    166.05/247.86 = 142.97/x
  3. Step 3: Cross multiply
    166.05x = 247.86 × 142.97
  4. Step 4: Simplify right side
    166.05x = 35,435.30
  5. Step 5: Solve for x
    x = 35,435.30/166.05
  6. Step 6: Final answer
    x = 213.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.