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Finding the Fourth Proportional to 179.70, 249.14 and 166.20

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Solution

The fourth proportional to 179.70, 249.14 and 166.20 is: 230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.70 : 249.14 = 166.20 : x
  2. Step 2: Convert to fraction form
    179.70/249.14 = 166.20/x
  3. Step 3: Cross multiply
    179.70x = 249.14 × 166.20
  4. Step 4: Simplify right side
    179.70x = 41,406.24
  5. Step 5: Solve for x
    x = 41,406.24/179.70
  6. Step 6: Final answer
    x = 230.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.