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Finding the Fourth Proportional to 36.28, 49.78 and 34.20

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Solution

The fourth proportional to 36.28, 49.78 and 34.20 is: 46.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.28 : 49.78 = 34.20 : x
  2. Step 2: Convert to fraction form
    36.28/49.78 = 34.20/x
  3. Step 3: Cross multiply
    36.28x = 49.78 × 34.20
  4. Step 4: Simplify right side
    36.28x = 1,702.48
  5. Step 5: Solve for x
    x = 1,702.48/36.28
  6. Step 6: Final answer
    x = 46.93

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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.