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Finding the Fourth Proportional to 201.06, 278.60 and 196.74

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Solution

The fourth proportional to 201.06, 278.60 and 196.74 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.06 : 278.60 = 196.74 : x
  2. Step 2: Convert to fraction form
    201.06/278.60 = 196.74/x
  3. Step 3: Cross multiply
    201.06x = 278.60 × 196.74
  4. Step 4: Simplify right side
    201.06x = 54,810.78
  5. Step 5: Solve for x
    x = 54,810.78/201.06
  6. Step 6: Final answer
    x = 272.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.