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Finding the Fourth Proportional to 168.89, 232.49 and 141.21

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Solution

The fourth proportional to 168.89, 232.49 and 141.21 is: 194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.89 : 232.49 = 141.21 : x
  2. Step 2: Convert to fraction form
    168.89/232.49 = 141.21/x
  3. Step 3: Cross multiply
    168.89x = 232.49 × 141.21
  4. Step 4: Simplify right side
    168.89x = 32,830.27
  5. Step 5: Solve for x
    x = 32,830.27/168.89
  6. Step 6: Final answer
    x = 194.39

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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.