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Finding the Fourth Proportional to 36.74, 50.90 and 35.48

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Solution

The fourth proportional to 36.74, 50.90 and 35.48 is: 49.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.74 : 50.90 = 35.48 : x
  2. Step 2: Convert to fraction form
    36.74/50.90 = 35.48/x
  3. Step 3: Cross multiply
    36.74x = 50.90 × 35.48
  4. Step 4: Simplify right side
    36.74x = 1,805.75
  5. Step 5: Solve for x
    x = 1,805.75/36.74
  6. Step 6: Final answer
    x = 49.15

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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.