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Finding the Fourth Proportional to 168.25, 231.68 and 160.05

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Solution

The fourth proportional to 168.25, 231.68 and 160.05 is: 220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.25 : 231.68 = 160.05 : x
  2. Step 2: Convert to fraction form
    168.25/231.68 = 160.05/x
  3. Step 3: Cross multiply
    168.25x = 231.68 × 160.05
  4. Step 4: Simplify right side
    168.25x = 37,080.35
  5. Step 5: Solve for x
    x = 37,080.35/168.25
  6. Step 6: Final answer
    x = 220.39

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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.