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Finding the Fourth Proportional to 201.92, 301.42 and 171.20

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Solution

The fourth proportional to 201.92, 301.42 and 171.20 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 301.42 = 171.20 : x
  2. Step 2: Convert to fraction form
    201.92/301.42 = 171.20/x
  3. Step 3: Cross multiply
    201.92x = 301.42 × 171.20
  4. Step 4: Simplify right side
    201.92x = 51,603.10
  5. Step 5: Solve for x
    x = 51,603.10/201.92
  6. Step 6: Final answer
    x = 255.56

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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.