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Finding the Fourth Proportional to 27.75, 38.45 and 27.12

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Solution

The fourth proportional to 27.75, 38.45 and 27.12 is: 37.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.75 : 38.45 = 27.12 : x
  2. Step 2: Convert to fraction form
    27.75/38.45 = 27.12/x
  3. Step 3: Cross multiply
    27.75x = 38.45 × 27.12
  4. Step 4: Simplify right side
    27.75x = 1,042.63
  5. Step 5: Solve for x
    x = 1,042.63/27.75
  6. Step 6: Final answer
    x = 37.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.