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Finding the Fourth Proportional to 201.92, 278.91 and 149.57

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Solution

The fourth proportional to 201.92, 278.91 and 149.57 is: 206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 278.91 = 149.57 : x
  2. Step 2: Convert to fraction form
    201.92/278.91 = 149.57/x
  3. Step 3: Cross multiply
    201.92x = 278.91 × 149.57
  4. Step 4: Simplify right side
    201.92x = 41,716.57
  5. Step 5: Solve for x
    x = 41,716.57/201.92
  6. Step 6: Final answer
    x = 206.60

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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.