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Finding the Fourth Proportional to 221.44, 332.34 and 113.26

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Solution

The fourth proportional to 221.44, 332.34 and 113.26 is: 169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 332.34 = 113.26 : x
  2. Step 2: Convert to fraction form
    221.44/332.34 = 113.26/x
  3. Step 3: Cross multiply
    221.44x = 332.34 × 113.26
  4. Step 4: Simplify right side
    221.44x = 37,640.83
  5. Step 5: Solve for x
    x = 37,640.83/221.44
  6. Step 6: Final answer
    x = 169.98

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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.