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Finding the Fourth Proportional to 201.72, 278.57 and 136.28

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Solution

The fourth proportional to 201.72, 278.57 and 136.28 is: 188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 278.57 = 136.28 : x
  2. Step 2: Convert to fraction form
    201.72/278.57 = 136.28/x
  3. Step 3: Cross multiply
    201.72x = 278.57 × 136.28
  4. Step 4: Simplify right side
    201.72x = 37,964.56
  5. Step 5: Solve for x
    x = 37,964.56/201.72
  6. Step 6: Final answer
    x = 188.20

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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.