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Finding the Fourth Proportional to 38.05, 52.38 and 37.39

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Solution

The fourth proportional to 38.05, 52.38 and 37.39 is: 51.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.05 : 52.38 = 37.39 : x
  2. Step 2: Convert to fraction form
    38.05/52.38 = 37.39/x
  3. Step 3: Cross multiply
    38.05x = 52.38 × 37.39
  4. Step 4: Simplify right side
    38.05x = 1,958.49
  5. Step 5: Solve for x
    x = 1,958.49/38.05
  6. Step 6: Final answer
    x = 51.47

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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.