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Finding the Fourth Proportional to 168.91, 233.09 and 91.28

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Solution

The fourth proportional to 168.91, 233.09 and 91.28 is: 125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.91 : 233.09 = 91.28 : x
  2. Step 2: Convert to fraction form
    168.91/233.09 = 91.28/x
  3. Step 3: Cross multiply
    168.91x = 233.09 × 91.28
  4. Step 4: Simplify right side
    168.91x = 21,276.86
  5. Step 5: Solve for x
    x = 21,276.86/168.91
  6. Step 6: Final answer
    x = 125.97

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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.