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Finding the Fourth Proportional to 201.92, 301.18 and 195.85

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Solution

The fourth proportional to 201.92, 301.18 and 195.85 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 301.18 = 195.85 : x
  2. Step 2: Convert to fraction form
    201.92/301.18 = 195.85/x
  3. Step 3: Cross multiply
    201.92x = 301.18 × 195.85
  4. Step 4: Simplify right side
    201.92x = 58,984.60
  5. Step 5: Solve for x
    x = 58,984.60/201.92
  6. Step 6: Final answer
    x = 292.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.