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Finding the Fourth Proportional to 33.68, 50.78 and 31.55

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Solution

The fourth proportional to 33.68, 50.78 and 31.55 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.68 : 50.78 = 31.55 : x
  2. Step 2: Convert to fraction form
    33.68/50.78 = 31.55/x
  3. Step 3: Cross multiply
    33.68x = 50.78 × 31.55
  4. Step 4: Simplify right side
    33.68x = 1,601.95
  5. Step 5: Solve for x
    x = 1,601.95/33.68
  6. Step 6: Final answer
    x = 47.56

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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.