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Finding the Fourth Proportional to 222.76, 306.78 and 198.04

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Solution

The fourth proportional to 222.76, 306.78 and 198.04 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.76 : 306.78 = 198.04 : x
  2. Step 2: Convert to fraction form
    222.76/306.78 = 198.04/x
  3. Step 3: Cross multiply
    222.76x = 306.78 × 198.04
  4. Step 4: Simplify right side
    222.76x = 60,754.71
  5. Step 5: Solve for x
    x = 60,754.71/222.76
  6. Step 6: Final answer
    x = 272.74

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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.