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Finding the Fourth Proportional to 27.50, 41.18 and 19.84

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Solution

The fourth proportional to 27.50, 41.18 and 19.84 is: 29.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.50 : 41.18 = 19.84 : x
  2. Step 2: Convert to fraction form
    27.50/41.18 = 19.84/x
  3. Step 3: Cross multiply
    27.50x = 41.18 × 19.84
  4. Step 4: Simplify right side
    27.50x = 817.01
  5. Step 5: Solve for x
    x = 817.01/27.50
  6. Step 6: Final answer
    x = 29.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.