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Finding the Fourth Proportional to 167.96, 230.55 and 149.12

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Solution

The fourth proportional to 167.96, 230.55 and 149.12 is: 204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 230.55 = 149.12 : x
  2. Step 2: Convert to fraction form
    167.96/230.55 = 149.12/x
  3. Step 3: Cross multiply
    167.96x = 230.55 × 149.12
  4. Step 4: Simplify right side
    167.96x = 34,379.62
  5. Step 5: Solve for x
    x = 34,379.62/167.96
  6. Step 6: Final answer
    x = 204.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.