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Finding the Fourth Proportional to 201.75, 278.30 and 136.27

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Solution

The fourth proportional to 201.75, 278.30 and 136.27 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 278.30 = 136.27 : x
  2. Step 2: Convert to fraction form
    201.75/278.30 = 136.27/x
  3. Step 3: Cross multiply
    201.75x = 278.30 × 136.27
  4. Step 4: Simplify right side
    201.75x = 37,923.94
  5. Step 5: Solve for x
    x = 37,923.94/201.75
  6. Step 6: Final answer
    x = 187.97

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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.