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Finding the Fourth Proportional to 201.20, 273.92 and 199.40

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Solution

The fourth proportional to 201.20, 273.92 and 199.40 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.20 : 273.92 = 199.40 : x
  2. Step 2: Convert to fraction form
    201.20/273.92 = 199.40/x
  3. Step 3: Cross multiply
    201.20x = 273.92 × 199.40
  4. Step 4: Simplify right side
    201.20x = 54,619.65
  5. Step 5: Solve for x
    x = 54,619.65/201.20
  6. Step 6: Final answer
    x = 271.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.