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Finding the Fourth Proportional to 36.65, 54.68 and 33.82

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Solution

The fourth proportional to 36.65, 54.68 and 33.82 is: 50.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.65 : 54.68 = 33.82 : x
  2. Step 2: Convert to fraction form
    36.65/54.68 = 33.82/x
  3. Step 3: Cross multiply
    36.65x = 54.68 × 33.82
  4. Step 4: Simplify right side
    36.65x = 1,848.97
  5. Step 5: Solve for x
    x = 1,848.97/36.65
  6. Step 6: Final answer
    x = 50.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.