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Finding the Fourth Proportional to 38, 52.41 and 28.20

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Solution

The fourth proportional to 38, 52.41 and 28.20 is: 38.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 52.41 = 28.20 : x
  2. Step 2: Convert to fraction form
    38/52.41 = 28.20/x
  3. Step 3: Cross multiply
    38x = 52.41 × 28.20
  4. Step 4: Simplify right side
    38x = 1,477.96
  5. Step 5: Solve for x
    x = 1,477.96/38
  6. Step 6: Final answer
    x = 38.89

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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.