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Finding the Fourth Proportional to 20.33, 30.38 and 16.28

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Solution

The fourth proportional to 20.33, 30.38 and 16.28 is: 24.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.33 : 30.38 = 16.28 : x
  2. Step 2: Convert to fraction form
    20.33/30.38 = 16.28/x
  3. Step 3: Cross multiply
    20.33x = 30.38 × 16.28
  4. Step 4: Simplify right side
    20.33x = 494.70
  5. Step 5: Solve for x
    x = 494.70/20.33
  6. Step 6: Final answer
    x = 24.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.