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Finding the Fourth Proportional to 201.46, 301.72 and 132.96

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Solution

The fourth proportional to 201.46, 301.72 and 132.96 is: 199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.46 : 301.72 = 132.96 : x
  2. Step 2: Convert to fraction form
    201.46/301.72 = 132.96/x
  3. Step 3: Cross multiply
    201.46x = 301.72 × 132.96
  4. Step 4: Simplify right side
    201.46x = 40,116.69
  5. Step 5: Solve for x
    x = 40,116.69/201.46
  6. Step 6: Final answer
    x = 199.13

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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.