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Finding the Fourth Proportional to 168.73, 231.34 and 164.18

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Solution

The fourth proportional to 168.73, 231.34 and 164.18 is: 225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.73 : 231.34 = 164.18 : x
  2. Step 2: Convert to fraction form
    168.73/231.34 = 164.18/x
  3. Step 3: Cross multiply
    168.73x = 231.34 × 164.18
  4. Step 4: Simplify right side
    168.73x = 37,981.27
  5. Step 5: Solve for x
    x = 37,981.27/168.73
  6. Step 6: Final answer
    x = 225.10

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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.