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Finding the Fourth Proportional to 33.51, 45.91 and 31.96

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Solution

The fourth proportional to 33.51, 45.91 and 31.96 is: 43.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.51 : 45.91 = 31.96 : x
  2. Step 2: Convert to fraction form
    33.51/45.91 = 31.96/x
  3. Step 3: Cross multiply
    33.51x = 45.91 × 31.96
  4. Step 4: Simplify right side
    33.51x = 1,467.05
  5. Step 5: Solve for x
    x = 1,467.05/33.51
  6. Step 6: Final answer
    x = 43.78

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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.