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Finding the Fourth Proportional to 20.38, 30.54 and 10.22

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Solution

The fourth proportional to 20.38, 30.54 and 10.22 is: 15.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.38 : 30.54 = 10.22 : x
  2. Step 2: Convert to fraction form
    20.38/30.54 = 10.22/x
  3. Step 3: Cross multiply
    20.38x = 30.54 × 10.22
  4. Step 4: Simplify right side
    20.38x = 312.12
  5. Step 5: Solve for x
    x = 312.12/20.38
  6. Step 6: Final answer
    x = 15.32

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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.