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Finding the Fourth Proportional to 185.92, 256.42 and 168.10

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Solution

The fourth proportional to 185.92, 256.42 and 168.10 is: 231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.92 : 256.42 = 168.10 : x
  2. Step 2: Convert to fraction form
    185.92/256.42 = 168.10/x
  3. Step 3: Cross multiply
    185.92x = 256.42 × 168.10
  4. Step 4: Simplify right side
    185.92x = 43,104.20
  5. Step 5: Solve for x
    x = 43,104.20/185.92
  6. Step 6: Final answer
    x = 231.84

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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.