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Finding the Fourth Proportional to 33.78, 50.52 and 28.96

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Solution

The fourth proportional to 33.78, 50.52 and 28.96 is: 43.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.78 : 50.52 = 28.96 : x
  2. Step 2: Convert to fraction form
    33.78/50.52 = 28.96/x
  3. Step 3: Cross multiply
    33.78x = 50.52 × 28.96
  4. Step 4: Simplify right side
    33.78x = 1,463.06
  5. Step 5: Solve for x
    x = 1,463.06/33.78
  6. Step 6: Final answer
    x = 43.31

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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.