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Finding the Fourth Proportional to 168.44, 231.78 and 134.96

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Solution

The fourth proportional to 168.44, 231.78 and 134.96 is: 185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.44 : 231.78 = 134.96 : x
  2. Step 2: Convert to fraction form
    168.44/231.78 = 134.96/x
  3. Step 3: Cross multiply
    168.44x = 231.78 × 134.96
  4. Step 4: Simplify right side
    168.44x = 31,281.03
  5. Step 5: Solve for x
    x = 31,281.03/168.44
  6. Step 6: Final answer
    x = 185.71

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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.