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Finding the Fourth Proportional to 166.50, 249.66 and 79.78

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Solution

The fourth proportional to 166.50, 249.66 and 79.78 is: 119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 249.66 = 79.78 : x
  2. Step 2: Convert to fraction form
    166.50/249.66 = 79.78/x
  3. Step 3: Cross multiply
    166.50x = 249.66 × 79.78
  4. Step 4: Simplify right side
    166.50x = 19,917.87
  5. Step 5: Solve for x
    x = 19,917.87/166.50
  6. Step 6: Final answer
    x = 119.63

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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.