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Finding the Fourth Proportional to 166.78, 249.90 and 101.80

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Solution

The fourth proportional to 166.78, 249.90 and 101.80 is: 152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 249.90 = 101.80 : x
  2. Step 2: Convert to fraction form
    166.78/249.90 = 101.80/x
  3. Step 3: Cross multiply
    166.78x = 249.90 × 101.80
  4. Step 4: Simplify right side
    166.78x = 25,439.82
  5. Step 5: Solve for x
    x = 25,439.82/166.78
  6. Step 6: Final answer
    x = 152.54

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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.