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Finding the Fourth Proportional to 201.38, 279.88 and 199.22

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Solution

The fourth proportional to 201.38, 279.88 and 199.22 is: 276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.38 : 279.88 = 199.22 : x
  2. Step 2: Convert to fraction form
    201.38/279.88 = 199.22/x
  3. Step 3: Cross multiply
    201.38x = 279.88 × 199.22
  4. Step 4: Simplify right side
    201.38x = 55,756.70
  5. Step 5: Solve for x
    x = 55,756.70/201.38
  6. Step 6: Final answer
    x = 276.87

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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.