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Finding the Fourth Proportional to 221.92, 331.37 and 175.75

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Solution

The fourth proportional to 221.92, 331.37 and 175.75 is: 262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.92 : 331.37 = 175.75 : x
  2. Step 2: Convert to fraction form
    221.92/331.37 = 175.75/x
  3. Step 3: Cross multiply
    221.92x = 331.37 × 175.75
  4. Step 4: Simplify right side
    221.92x = 58,236.57
  5. Step 5: Solve for x
    x = 58,236.57/221.92
  6. Step 6: Final answer
    x = 262.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.