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Finding the Fourth Proportional to 168.48, 231.84 and 140.40

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Solution

The fourth proportional to 168.48, 231.84 and 140.40 is: 193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.48 : 231.84 = 140.40 : x
  2. Step 2: Convert to fraction form
    168.48/231.84 = 140.40/x
  3. Step 3: Cross multiply
    168.48x = 231.84 × 140.40
  4. Step 4: Simplify right side
    168.48x = 32,550.34
  5. Step 5: Solve for x
    x = 32,550.34/168.48
  6. Step 6: Final answer
    x = 193.20

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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.