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Finding the Fourth Proportional to 201.46, 276.12 and 195.29

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Solution

The fourth proportional to 201.46, 276.12 and 195.29 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.46 : 276.12 = 195.29 : x
  2. Step 2: Convert to fraction form
    201.46/276.12 = 195.29/x
  3. Step 3: Cross multiply
    201.46x = 276.12 × 195.29
  4. Step 4: Simplify right side
    201.46x = 53,923.47
  5. Step 5: Solve for x
    x = 53,923.47/201.46
  6. Step 6: Final answer
    x = 267.66

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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.