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Finding the Fourth Proportional to 221.44, 306.88 and 198.40

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Solution

The fourth proportional to 221.44, 306.88 and 198.40 is: 274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 306.88 = 198.40 : x
  2. Step 2: Convert to fraction form
    221.44/306.88 = 198.40/x
  3. Step 3: Cross multiply
    221.44x = 306.88 × 198.40
  4. Step 4: Simplify right side
    221.44x = 60,884.99
  5. Step 5: Solve for x
    x = 60,884.99/221.44
  6. Step 6: Final answer
    x = 274.95

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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.