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Finding the Fourth Proportional to 221.76, 306.12 and 138.84

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Solution

The fourth proportional to 221.76, 306.12 and 138.84 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.76 : 306.12 = 138.84 : x
  2. Step 2: Convert to fraction form
    221.76/306.12 = 138.84/x
  3. Step 3: Cross multiply
    221.76x = 306.12 × 138.84
  4. Step 4: Simplify right side
    221.76x = 42,501.70
  5. Step 5: Solve for x
    x = 42,501.70/221.76
  6. Step 6: Final answer
    x = 191.66

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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.