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Finding the Fourth Proportional to 33.21, 50.07 and 32.82

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Solution

The fourth proportional to 33.21, 50.07 and 32.82 is: 49.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.21 : 50.07 = 32.82 : x
  2. Step 2: Convert to fraction form
    33.21/50.07 = 32.82/x
  3. Step 3: Cross multiply
    33.21x = 50.07 × 32.82
  4. Step 4: Simplify right side
    33.21x = 1,643.30
  5. Step 5: Solve for x
    x = 1,643.30/33.21
  6. Step 6: Final answer
    x = 49.48

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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.