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Finding the Fourth Proportional to 221.23, 331.86 and 75

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Solution

The fourth proportional to 221.23, 331.86 and 75 is: 112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.23 : 331.86 = 75 : x
  2. Step 2: Convert to fraction form
    221.23/331.86 = 75/x
  3. Step 3: Cross multiply
    221.23x = 331.86 × 75
  4. Step 4: Simplify right side
    221.23x = 24,889.50
  5. Step 5: Solve for x
    x = 24,889.50/221.23
  6. Step 6: Final answer
    x = 112.51

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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.