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Finding the Fourth Proportional to 27.67, 41.15 and 27.46

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Solution

The fourth proportional to 27.67, 41.15 and 27.46 is: 40.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.67 : 41.15 = 27.46 : x
  2. Step 2: Convert to fraction form
    27.67/41.15 = 27.46/x
  3. Step 3: Cross multiply
    27.67x = 41.15 × 27.46
  4. Step 4: Simplify right side
    27.67x = 1,129.98
  5. Step 5: Solve for x
    x = 1,129.98/27.67
  6. Step 6: Final answer
    x = 40.84

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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.