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Finding the Fourth Proportional to 201.27, 276.09 and 199.54

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Solution

The fourth proportional to 201.27, 276.09 and 199.54 is: 273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.27 : 276.09 = 199.54 : x
  2. Step 2: Convert to fraction form
    201.27/276.09 = 199.54/x
  3. Step 3: Cross multiply
    201.27x = 276.09 × 199.54
  4. Step 4: Simplify right side
    201.27x = 55,090.00
  5. Step 5: Solve for x
    x = 55,090.00/201.27
  6. Step 6: Final answer
    x = 273.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.