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Finding the Fourth Proportional to 221.84, 306.14 and 138.97

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Solution

The fourth proportional to 221.84, 306.14 and 138.97 is: 191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 306.14 = 138.97 : x
  2. Step 2: Convert to fraction form
    221.84/306.14 = 138.97/x
  3. Step 3: Cross multiply
    221.84x = 306.14 × 138.97
  4. Step 4: Simplify right side
    221.84x = 42,544.28
  5. Step 5: Solve for x
    x = 42,544.28/221.84
  6. Step 6: Final answer
    x = 191.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.