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Finding the Fourth Proportional to 33.78, 46.34 and 33.46

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Solution

The fourth proportional to 33.78, 46.34 and 33.46 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.78 : 46.34 = 33.46 : x
  2. Step 2: Convert to fraction form
    33.78/46.34 = 33.46/x
  3. Step 3: Cross multiply
    33.78x = 46.34 × 33.46
  4. Step 4: Simplify right side
    33.78x = 1,550.57
  5. Step 5: Solve for x
    x = 1,550.57/33.78
  6. Step 6: Final answer
    x = 45.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.