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Finding the Fourth Proportional to 33.23, 49.78 and 21.79

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Solution

The fourth proportional to 33.23, 49.78 and 21.79 is: 32.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.23 : 49.78 = 21.79 : x
  2. Step 2: Convert to fraction form
    33.23/49.78 = 21.79/x
  3. Step 3: Cross multiply
    33.23x = 49.78 × 21.79
  4. Step 4: Simplify right side
    33.23x = 1,084.80
  5. Step 5: Solve for x
    x = 1,084.80/33.23
  6. Step 6: Final answer
    x = 32.64

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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.