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Finding the Fourth Proportional to 36.84, 50.78 and 28.20

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Solution

The fourth proportional to 36.84, 50.78 and 28.20 is: 38.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.84 : 50.78 = 28.20 : x
  2. Step 2: Convert to fraction form
    36.84/50.78 = 28.20/x
  3. Step 3: Cross multiply
    36.84x = 50.78 × 28.20
  4. Step 4: Simplify right side
    36.84x = 1,432.00
  5. Step 5: Solve for x
    x = 1,432.00/36.84
  6. Step 6: Final answer
    x = 38.87

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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.