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Finding the Fourth Proportional to 201.89, 278.34 and 136.28

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Solution

The fourth proportional to 201.89, 278.34 and 136.28 is: 187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 278.34 = 136.28 : x
  2. Step 2: Convert to fraction form
    201.89/278.34 = 136.28/x
  3. Step 3: Cross multiply
    201.89x = 278.34 × 136.28
  4. Step 4: Simplify right side
    201.89x = 37,932.36
  5. Step 5: Solve for x
    x = 37,932.36/201.89
  6. Step 6: Final answer
    x = 187.88

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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.