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Finding the Fourth Proportional to 221.43, 330.86 and 194.70

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Solution

The fourth proportional to 221.43, 330.86 and 194.70 is: 290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.43 : 330.86 = 194.70 : x
  2. Step 2: Convert to fraction form
    221.43/330.86 = 194.70/x
  3. Step 3: Cross multiply
    221.43x = 330.86 × 194.70
  4. Step 4: Simplify right side
    221.43x = 64,419.62
  5. Step 5: Solve for x
    x = 64,419.62/221.43
  6. Step 6: Final answer
    x = 290.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.