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Finding the Fourth Proportional to 38.23, 52.39 and 36.97

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Solution

The fourth proportional to 38.23, 52.39 and 36.97 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.23 : 52.39 = 36.97 : x
  2. Step 2: Convert to fraction form
    38.23/52.39 = 36.97/x
  3. Step 3: Cross multiply
    38.23x = 52.39 × 36.97
  4. Step 4: Simplify right side
    38.23x = 1,936.86
  5. Step 5: Solve for x
    x = 1,936.86/38.23
  6. Step 6: Final answer
    x = 50.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.