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Finding the Fourth Proportional to 2.89, 4.31 and 2.08

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Solution

The fourth proportional to 2.89, 4.31 and 2.08 is: 3.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.89 : 4.31 = 2.08 : x
  2. Step 2: Convert to fraction form
    2.89/4.31 = 2.08/x
  3. Step 3: Cross multiply
    2.89x = 4.31 × 2.08
  4. Step 4: Simplify right side
    2.89x = 8.98
  5. Step 5: Solve for x
    x = 8.98/2.89
  6. Step 6: Final answer
    x = 3.11

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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.