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Finding the Fourth Proportional to 222.64, 306.72 and 200.80

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Solution

The fourth proportional to 222.64, 306.72 and 200.80 is: 276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 306.72 = 200.80 : x
  2. Step 2: Convert to fraction form
    222.64/306.72 = 200.80/x
  3. Step 3: Cross multiply
    222.64x = 306.72 × 200.80
  4. Step 4: Simplify right side
    222.64x = 61,589.38
  5. Step 5: Solve for x
    x = 61,589.38/222.64
  6. Step 6: Final answer
    x = 276.63

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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.