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Finding the Fourth Proportional to 221.60, 331.84 and 181.12

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Solution

The fourth proportional to 221.60, 331.84 and 181.12 is: 271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.60 : 331.84 = 181.12 : x
  2. Step 2: Convert to fraction form
    221.60/331.84 = 181.12/x
  3. Step 3: Cross multiply
    221.60x = 331.84 × 181.12
  4. Step 4: Simplify right side
    221.60x = 60,102.86
  5. Step 5: Solve for x
    x = 60,102.86/221.60
  6. Step 6: Final answer
    x = 271.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.