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Finding the Third Proportional to 3.84 and 4.27

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Solution

The third proportional to 3.84 and 4.27 is: 4.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.84 : 4.27 = 4.27 : x
  2. Step 2: Convert to fraction form
    3.84/4.27 = 4.27/x
  3. Step 3: Cross multiply
    3.84x = 4.27 × 4.27
  4. Step 4: Simplify right side
    3.84x = 18.25
  5. Step 5: Solve for x
    x = 18.25/3.84
  6. Step 6: Final answer
    x = 4.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.