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Finding the Fourth Proportional to 36.05, 49.75 and 20.50

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Solution

The fourth proportional to 36.05, 49.75 and 20.50 is: 28.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.05 : 49.75 = 20.50 : x
  2. Step 2: Convert to fraction form
    36.05/49.75 = 20.50/x
  3. Step 3: Cross multiply
    36.05x = 49.75 × 20.50
  4. Step 4: Simplify right side
    36.05x = 1,019.94
  5. Step 5: Solve for x
    x = 1,019.94/36.05
  6. Step 6: Final answer
    x = 28.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.