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Finding the Fourth Proportional to 36.28, 49.73 and 34.96

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Solution

The fourth proportional to 36.28, 49.73 and 34.96 is: 47.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.28 : 49.73 = 34.96 : x
  2. Step 2: Convert to fraction form
    36.28/49.73 = 34.96/x
  3. Step 3: Cross multiply
    36.28x = 49.73 × 34.96
  4. Step 4: Simplify right side
    36.28x = 1,738.56
  5. Step 5: Solve for x
    x = 1,738.56/36.28
  6. Step 6: Final answer
    x = 47.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.