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Finding the Fourth Proportional to 168.80, 232.62 and 162.14

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Solution

The fourth proportional to 168.80, 232.62 and 162.14 is: 223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.80 : 232.62 = 162.14 : x
  2. Step 2: Convert to fraction form
    168.80/232.62 = 162.14/x
  3. Step 3: Cross multiply
    168.80x = 232.62 × 162.14
  4. Step 4: Simplify right side
    168.80x = 37,717.01
  5. Step 5: Solve for x
    x = 37,717.01/168.80
  6. Step 6: Final answer
    x = 223.44

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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.