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Finding the Fourth Proportional to 201.92, 278.10 and 169.04

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Solution

The fourth proportional to 201.92, 278.10 and 169.04 is: 232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 278.10 = 169.04 : x
  2. Step 2: Convert to fraction form
    201.92/278.10 = 169.04/x
  3. Step 3: Cross multiply
    201.92x = 278.10 × 169.04
  4. Step 4: Simplify right side
    201.92x = 47,010.02
  5. Step 5: Solve for x
    x = 47,010.02/201.92
  6. Step 6: Final answer
    x = 232.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.