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Finding the Fourth Proportional to 221.13, 331.83 and 105.57

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Solution

The fourth proportional to 221.13, 331.83 and 105.57 is: 158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.13 : 331.83 = 105.57 : x
  2. Step 2: Convert to fraction form
    221.13/331.83 = 105.57/x
  3. Step 3: Cross multiply
    221.13x = 331.83 × 105.57
  4. Step 4: Simplify right side
    221.13x = 35,031.29
  5. Step 5: Solve for x
    x = 35,031.29/221.13
  6. Step 6: Final answer
    x = 158.42

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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.