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Finding the Fourth Proportional to 201.12, 300.96 and 165.12

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Solution

The fourth proportional to 201.12, 300.96 and 165.12 is: 247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 300.96 = 165.12 : x
  2. Step 2: Convert to fraction form
    201.12/300.96 = 165.12/x
  3. Step 3: Cross multiply
    201.12x = 300.96 × 165.12
  4. Step 4: Simplify right side
    201.12x = 49,694.52
  5. Step 5: Solve for x
    x = 49,694.52/201.12
  6. Step 6: Final answer
    x = 247.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.