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Finding the Fourth Proportional to 20.82, 28.38 and 20.19

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Solution

The fourth proportional to 20.82, 28.38 and 20.19 is: 27.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.82 : 28.38 = 20.19 : x
  2. Step 2: Convert to fraction form
    20.82/28.38 = 20.19/x
  3. Step 3: Cross multiply
    20.82x = 28.38 × 20.19
  4. Step 4: Simplify right side
    20.82x = 572.99
  5. Step 5: Solve for x
    x = 572.99/20.82
  6. Step 6: Final answer
    x = 27.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.