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Finding the Fourth Proportional to 166.80, 249.11 and 139.77

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Solution

The fourth proportional to 166.80, 249.11 and 139.77 is: 208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 249.11 = 139.77 : x
  2. Step 2: Convert to fraction form
    166.80/249.11 = 139.77/x
  3. Step 3: Cross multiply
    166.80x = 249.11 × 139.77
  4. Step 4: Simplify right side
    166.80x = 34,818.10
  5. Step 5: Solve for x
    x = 34,818.10/166.80
  6. Step 6: Final answer
    x = 208.74

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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.