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Finding the Fourth Proportional to 168.26, 231.78 and 160.06

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Solution

The fourth proportional to 168.26, 231.78 and 160.06 is: 220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.26 : 231.78 = 160.06 : x
  2. Step 2: Convert to fraction form
    168.26/231.78 = 160.06/x
  3. Step 3: Cross multiply
    168.26x = 231.78 × 160.06
  4. Step 4: Simplify right side
    168.26x = 37,098.26
  5. Step 5: Solve for x
    x = 37,098.26/168.26
  6. Step 6: Final answer
    x = 220.48

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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.