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Finding the Fourth Proportional to 27.84, 41.60 and 20.19

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Solution

The fourth proportional to 27.84, 41.60 and 20.19 is: 30.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.60 = 20.19 : x
  2. Step 2: Convert to fraction form
    27.84/41.60 = 20.19/x
  3. Step 3: Cross multiply
    27.84x = 41.60 × 20.19
  4. Step 4: Simplify right side
    27.84x = 839.80
  5. Step 5: Solve for x
    x = 839.80/27.84
  6. Step 6: Final answer
    x = 30.17

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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.