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Finding the Fourth Proportional to 201.04, 275.22 and 199.69

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Solution

The fourth proportional to 201.04, 275.22 and 199.69 is: 273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.04 : 275.22 = 199.69 : x
  2. Step 2: Convert to fraction form
    201.04/275.22 = 199.69/x
  3. Step 3: Cross multiply
    201.04x = 275.22 × 199.69
  4. Step 4: Simplify right side
    201.04x = 54,958.68
  5. Step 5: Solve for x
    x = 54,958.68/201.04
  6. Step 6: Final answer
    x = 273.37

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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.