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Finding the Fourth Proportional to 166.36, 249.20 and 120.80

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Solution

The fourth proportional to 166.36, 249.20 and 120.80 is: 180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 249.20 = 120.80 : x
  2. Step 2: Convert to fraction form
    166.36/249.20 = 120.80/x
  3. Step 3: Cross multiply
    166.36x = 249.20 × 120.80
  4. Step 4: Simplify right side
    166.36x = 30,103.36
  5. Step 5: Solve for x
    x = 30,103.36/166.36
  6. Step 6: Final answer
    x = 180.95

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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.