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Finding the Fourth Proportional to 167.34, 231.05 and 108.36

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Solution

The fourth proportional to 167.34, 231.05 and 108.36 is: 149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 231.05 = 108.36 : x
  2. Step 2: Convert to fraction form
    167.34/231.05 = 108.36/x
  3. Step 3: Cross multiply
    167.34x = 231.05 × 108.36
  4. Step 4: Simplify right side
    167.34x = 25,036.04
  5. Step 5: Solve for x
    x = 25,036.04/167.34
  6. Step 6: Final answer
    x = 149.61

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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.