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Finding the Fourth Proportional to 27.96, 38.12 and 27.68

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Solution

The fourth proportional to 27.96, 38.12 and 27.68 is: 37.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.96 : 38.12 = 27.68 : x
  2. Step 2: Convert to fraction form
    27.96/38.12 = 27.68/x
  3. Step 3: Cross multiply
    27.96x = 38.12 × 27.68
  4. Step 4: Simplify right side
    27.96x = 1,055.16
  5. Step 5: Solve for x
    x = 1,055.16/27.96
  6. Step 6: Final answer
    x = 37.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.