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Finding the Fourth Proportional to 168.48, 230.46 and 167.76

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Solution

The fourth proportional to 168.48, 230.46 and 167.76 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.48 : 230.46 = 167.76 : x
  2. Step 2: Convert to fraction form
    168.48/230.46 = 167.76/x
  3. Step 3: Cross multiply
    168.48x = 230.46 × 167.76
  4. Step 4: Simplify right side
    168.48x = 38,661.97
  5. Step 5: Solve for x
    x = 38,661.97/168.48
  6. Step 6: Final answer
    x = 229.48

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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.