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Finding the Fourth Proportional to 201.33, 275.87 and 199.44

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Solution

The fourth proportional to 201.33, 275.87 and 199.44 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.33 : 275.87 = 199.44 : x
  2. Step 2: Convert to fraction form
    201.33/275.87 = 199.44/x
  3. Step 3: Cross multiply
    201.33x = 275.87 × 199.44
  4. Step 4: Simplify right side
    201.33x = 55,020.01
  5. Step 5: Solve for x
    x = 55,020.01/201.33
  6. Step 6: Final answer
    x = 273.28

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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.