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Finding the Fourth Proportional to 166.04, 249.05 and 42.65

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Solution

The fourth proportional to 166.04, 249.05 and 42.65 is: 63.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 249.05 = 42.65 : x
  2. Step 2: Convert to fraction form
    166.04/249.05 = 42.65/x
  3. Step 3: Cross multiply
    166.04x = 249.05 × 42.65
  4. Step 4: Simplify right side
    166.04x = 10,620.52
  5. Step 5: Solve for x
    x = 10,620.52/166.04
  6. Step 6: Final answer
    x = 63.97

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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.