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Finding the Fourth Proportional to 36.74, 50.90 and 36.30

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Solution

The fourth proportional to 36.74, 50.90 and 36.30 is: 50.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.74 : 50.90 = 36.30 : x
  2. Step 2: Convert to fraction form
    36.74/50.90 = 36.30/x
  3. Step 3: Cross multiply
    36.74x = 50.90 × 36.30
  4. Step 4: Simplify right side
    36.74x = 1,847.49
  5. Step 5: Solve for x
    x = 1,847.49/36.74
  6. Step 6: Final answer
    x = 50.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.