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Finding the Fourth Proportional to 168.65, 232.70 and 113.46

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Solution

The fourth proportional to 168.65, 232.70 and 113.46 is: 156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.65 : 232.70 = 113.46 : x
  2. Step 2: Convert to fraction form
    168.65/232.70 = 113.46/x
  3. Step 3: Cross multiply
    168.65x = 232.70 × 113.46
  4. Step 4: Simplify right side
    168.65x = 26,401.57
  5. Step 5: Solve for x
    x = 26,401.57/168.65
  6. Step 6: Final answer
    x = 156.55

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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.