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Finding the Fourth Proportional to 168.29, 231.75 and 167.75

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Solution

The fourth proportional to 168.29, 231.75 and 167.75 is: 231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.29 : 231.75 = 167.75 : x
  2. Step 2: Convert to fraction form
    168.29/231.75 = 167.75/x
  3. Step 3: Cross multiply
    168.29x = 231.75 × 167.75
  4. Step 4: Simplify right side
    168.29x = 38,876.06
  5. Step 5: Solve for x
    x = 38,876.06/168.29
  6. Step 6: Final answer
    x = 231.01

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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.