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Finding the Fourth Proportional to 27.98, 42.27 and 27.69

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Solution

The fourth proportional to 27.98, 42.27 and 27.69 is: 41.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.98 : 42.27 = 27.69 : x
  2. Step 2: Convert to fraction form
    27.98/42.27 = 27.69/x
  3. Step 3: Cross multiply
    27.98x = 42.27 × 27.69
  4. Step 4: Simplify right side
    27.98x = 1,170.19
  5. Step 5: Solve for x
    x = 1,170.19/27.98
  6. Step 6: Final answer
    x = 41.82

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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.