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Finding the Fourth Proportional to 168.12, 231.12 and 158.40

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Solution

The fourth proportional to 168.12, 231.12 and 158.40 is: 217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.12 : 231.12 = 158.40 : x
  2. Step 2: Convert to fraction form
    168.12/231.12 = 158.40/x
  3. Step 3: Cross multiply
    168.12x = 231.12 × 158.40
  4. Step 4: Simplify right side
    168.12x = 36,609.41
  5. Step 5: Solve for x
    x = 36,609.41/168.12
  6. Step 6: Final answer
    x = 217.76

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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.