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Finding the Fourth Proportional to 2.97, 4.10 and 1.89

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Solution

The fourth proportional to 2.97, 4.10 and 1.89 is: 2.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.97 : 4.10 = 1.89 : x
  2. Step 2: Convert to fraction form
    2.97/4.10 = 1.89/x
  3. Step 3: Cross multiply
    2.97x = 4.10 × 1.89
  4. Step 4: Simplify right side
    2.97x = 7.75
  5. Step 5: Solve for x
    x = 7.75/2.97
  6. Step 6: Final answer
    x = 2.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.