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Finding the Fourth Proportional to 38.20, 57.30 and 16.81

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Solution

The fourth proportional to 38.20, 57.30 and 16.81 is: 25.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.20 : 57.30 = 16.81 : x
  2. Step 2: Convert to fraction form
    38.20/57.30 = 16.81/x
  3. Step 3: Cross multiply
    38.20x = 57.30 × 16.81
  4. Step 4: Simplify right side
    38.20x = 963.21
  5. Step 5: Solve for x
    x = 963.21/38.20
  6. Step 6: Final answer
    x = 25.22

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