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Finding the Fourth Proportional to 221.28, 306.93 and 213.96

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Solution

The fourth proportional to 221.28, 306.93 and 213.96 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.28 : 306.93 = 213.96 : x
  2. Step 2: Convert to fraction form
    221.28/306.93 = 213.96/x
  3. Step 3: Cross multiply
    221.28x = 306.93 × 213.96
  4. Step 4: Simplify right side
    221.28x = 65,670.74
  5. Step 5: Solve for x
    x = 65,670.74/221.28
  6. Step 6: Final answer
    x = 296.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.