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Finding the Fourth Proportional to 201.26, 300.80 and 149.96

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Solution

The fourth proportional to 201.26, 300.80 and 149.96 is: 224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.26 : 300.80 = 149.96 : x
  2. Step 2: Convert to fraction form
    201.26/300.80 = 149.96/x
  3. Step 3: Cross multiply
    201.26x = 300.80 × 149.96
  4. Step 4: Simplify right side
    201.26x = 45,107.97
  5. Step 5: Solve for x
    x = 45,107.97/201.26
  6. Step 6: Final answer
    x = 224.13

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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.