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Finding the Fourth Proportional to 168.11, 231.51 and 167.60

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Solution

The fourth proportional to 168.11, 231.51 and 167.60 is: 230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.11 : 231.51 = 167.60 : x
  2. Step 2: Convert to fraction form
    168.11/231.51 = 167.60/x
  3. Step 3: Cross multiply
    168.11x = 231.51 × 167.60
  4. Step 4: Simplify right side
    168.11x = 38,801.08
  5. Step 5: Solve for x
    x = 38,801.08/168.11
  6. Step 6: Final answer
    x = 230.81

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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.