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Finding the Fourth Proportional to 167.65, 231.30 and 108.61

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Solution

The fourth proportional to 167.65, 231.30 and 108.61 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.65 : 231.30 = 108.61 : x
  2. Step 2: Convert to fraction form
    167.65/231.30 = 108.61/x
  3. Step 3: Cross multiply
    167.65x = 231.30 × 108.61
  4. Step 4: Simplify right side
    167.65x = 25,121.49
  5. Step 5: Solve for x
    x = 25,121.49/167.65
  6. Step 6: Final answer
    x = 149.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.