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Finding the Fourth Proportional to 167.36, 231.05 and 108.39

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Solution

The fourth proportional to 167.36, 231.05 and 108.39 is: 149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.36 : 231.05 = 108.39 : x
  2. Step 2: Convert to fraction form
    167.36/231.05 = 108.39/x
  3. Step 3: Cross multiply
    167.36x = 231.05 × 108.39
  4. Step 4: Simplify right side
    167.36x = 25,044.65
  5. Step 5: Solve for x
    x = 25,044.65/167.36
  6. Step 6: Final answer
    x = 149.65

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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.