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Finding the Fourth Proportional to 168.86, 233.07 and 106.65

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Solution

The fourth proportional to 168.86, 233.07 and 106.65 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.86 : 233.07 = 106.65 : x
  2. Step 2: Convert to fraction form
    168.86/233.07 = 106.65/x
  3. Step 3: Cross multiply
    168.86x = 233.07 × 106.65
  4. Step 4: Simplify right side
    168.86x = 24,856.92
  5. Step 5: Solve for x
    x = 24,856.92/168.86
  6. Step 6: Final answer
    x = 147.21

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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.