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Finding the Fourth Proportional to 33.33, 45.81 and 30.96

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Solution

The fourth proportional to 33.33, 45.81 and 30.96 is: 42.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.33 : 45.81 = 30.96 : x
  2. Step 2: Convert to fraction form
    33.33/45.81 = 30.96/x
  3. Step 3: Cross multiply
    33.33x = 45.81 × 30.96
  4. Step 4: Simplify right side
    33.33x = 1,418.28
  5. Step 5: Solve for x
    x = 1,418.28/33.33
  6. Step 6: Final answer
    x = 42.55

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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.