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Finding the Fourth Proportional to 33.68, 50.72 and 30.38

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Solution

The fourth proportional to 33.68, 50.72 and 30.38 is: 45.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.68 : 50.72 = 30.38 : x
  2. Step 2: Convert to fraction form
    33.68/50.72 = 30.38/x
  3. Step 3: Cross multiply
    33.68x = 50.72 × 30.38
  4. Step 4: Simplify right side
    33.68x = 1,540.47
  5. Step 5: Solve for x
    x = 1,540.47/33.68
  6. Step 6: Final answer
    x = 45.73

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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.