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Finding the Fourth Proportional to 221.70, 332.30 and 196.09

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Solution

The fourth proportional to 221.70, 332.30 and 196.09 is: 293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.70 : 332.30 = 196.09 : x
  2. Step 2: Convert to fraction form
    221.70/332.30 = 196.09/x
  3. Step 3: Cross multiply
    221.70x = 332.30 × 196.09
  4. Step 4: Simplify right side
    221.70x = 65,160.37
  5. Step 5: Solve for x
    x = 65,160.37/221.70
  6. Step 6: Final answer
    x = 293.91

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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.