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Finding the Fourth Proportional to 33.05, 49.53 and 13.78

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Solution

The fourth proportional to 33.05, 49.53 and 13.78 is: 20.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.05 : 49.53 = 13.78 : x
  2. Step 2: Convert to fraction form
    33.05/49.53 = 13.78/x
  3. Step 3: Cross multiply
    33.05x = 49.53 × 13.78
  4. Step 4: Simplify right side
    33.05x = 682.52
  5. Step 5: Solve for x
    x = 682.52/33.05
  6. Step 6: Final answer
    x = 20.65

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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.