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Finding the Fourth Proportional to 33.90, 51.09 and 33.27

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Solution

The fourth proportional to 33.90, 51.09 and 33.27 is: 50.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.90 : 51.09 = 33.27 : x
  2. Step 2: Convert to fraction form
    33.90/51.09 = 33.27/x
  3. Step 3: Cross multiply
    33.90x = 51.09 × 33.27
  4. Step 4: Simplify right side
    33.90x = 1,699.76
  5. Step 5: Solve for x
    x = 1,699.76/33.90
  6. Step 6: Final answer
    x = 50.14

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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.