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Finding the Fourth Proportional to 27.97, 41.96 and 7.68

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Solution

The fourth proportional to 27.97, 41.96 and 7.68 is: 11.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.97 : 41.96 = 7.68 : x
  2. Step 2: Convert to fraction form
    27.97/41.96 = 7.68/x
  3. Step 3: Cross multiply
    27.97x = 41.96 × 7.68
  4. Step 4: Simplify right side
    27.97x = 322.25
  5. Step 5: Solve for x
    x = 322.25/27.97
  6. Step 6: Final answer
    x = 11.52

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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.