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Finding the Fourth Proportional to 3.39, 5.09 and 2.13

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Solution

The fourth proportional to 3.39, 5.09 and 2.13 is: 3.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.39 : 5.09 = 2.13 : x
  2. Step 2: Convert to fraction form
    3.39/5.09 = 2.13/x
  3. Step 3: Cross multiply
    3.39x = 5.09 × 2.13
  4. Step 4: Simplify right side
    3.39x = 10.85
  5. Step 5: Solve for x
    x = 10.85/3.39
  6. Step 6: Final answer
    x = 3.20

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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.