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Finding the Fourth Proportional to 38.20, 57.28 and 26.78

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Solution

The fourth proportional to 38.20, 57.28 and 26.78 is: 40.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.20 : 57.28 = 26.78 : x
  2. Step 2: Convert to fraction form
    38.20/57.28 = 26.78/x
  3. Step 3: Cross multiply
    38.20x = 57.28 × 26.78
  4. Step 4: Simplify right side
    38.20x = 1,533.96
  5. Step 5: Solve for x
    x = 1,533.96/38.20
  6. Step 6: Final answer
    x = 40.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.