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Finding the Fourth Proportional to 222.46, 306.52 and 194.78

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Solution

The fourth proportional to 222.46, 306.52 and 194.78 is: 268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.46 : 306.52 = 194.78 : x
  2. Step 2: Convert to fraction form
    222.46/306.52 = 194.78/x
  3. Step 3: Cross multiply
    222.46x = 306.52 × 194.78
  4. Step 4: Simplify right side
    222.46x = 59,704.20
  5. Step 5: Solve for x
    x = 59,704.20/222.46
  6. Step 6: Final answer
    x = 268.38

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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.