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Finding the Fourth Proportional to 27.71, 41.78 and 25.82

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Solution

The fourth proportional to 27.71, 41.78 and 25.82 is: 38.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.71 : 41.78 = 25.82 : x
  2. Step 2: Convert to fraction form
    27.71/41.78 = 25.82/x
  3. Step 3: Cross multiply
    27.71x = 41.78 × 25.82
  4. Step 4: Simplify right side
    27.71x = 1,078.76
  5. Step 5: Solve for x
    x = 1,078.76/27.71
  6. Step 6: Final answer
    x = 38.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.