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Finding the Fourth Proportional to 168.95, 233.17 and 141.27

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Solution

The fourth proportional to 168.95, 233.17 and 141.27 is: 194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.95 : 233.17 = 141.27 : x
  2. Step 2: Convert to fraction form
    168.95/233.17 = 141.27/x
  3. Step 3: Cross multiply
    168.95x = 233.17 × 141.27
  4. Step 4: Simplify right side
    168.95x = 32,939.93
  5. Step 5: Solve for x
    x = 32,939.93/168.95
  6. Step 6: Final answer
    x = 194.97

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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.