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Finding the Fourth Proportional to 168.80, 231.46 and 163.01

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Solution

The fourth proportional to 168.80, 231.46 and 163.01 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.80 : 231.46 = 163.01 : x
  2. Step 2: Convert to fraction form
    168.80/231.46 = 163.01/x
  3. Step 3: Cross multiply
    168.80x = 231.46 × 163.01
  4. Step 4: Simplify right side
    168.80x = 37,730.29
  5. Step 5: Solve for x
    x = 37,730.29/168.80
  6. Step 6: Final answer
    x = 223.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.