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Finding the Fourth Proportional to 28.28, 42.44 and 10.25

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Solution

The fourth proportional to 28.28, 42.44 and 10.25 is: 15.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.28 : 42.44 = 10.25 : x
  2. Step 2: Convert to fraction form
    28.28/42.44 = 10.25/x
  3. Step 3: Cross multiply
    28.28x = 42.44 × 10.25
  4. Step 4: Simplify right side
    28.28x = 434.75
  5. Step 5: Solve for x
    x = 434.75/28.28
  6. Step 6: Final answer
    x = 15.38

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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.