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Finding the Fourth Proportional to 168.67, 233.82 and 159.43

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Solution

The fourth proportional to 168.67, 233.82 and 159.43 is: 221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 233.82 = 159.43 : x
  2. Step 2: Convert to fraction form
    168.67/233.82 = 159.43/x
  3. Step 3: Cross multiply
    168.67x = 233.82 × 159.43
  4. Step 4: Simplify right side
    168.67x = 37,277.12
  5. Step 5: Solve for x
    x = 37,277.12/168.67
  6. Step 6: Final answer
    x = 221.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.