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Finding the Fourth Proportional to 38.43, 56.97 and 38.12

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Solution

The fourth proportional to 38.43, 56.97 and 38.12 is: 56.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.43 : 56.97 = 38.12 : x
  2. Step 2: Convert to fraction form
    38.43/56.97 = 38.12/x
  3. Step 3: Cross multiply
    38.43x = 56.97 × 38.12
  4. Step 4: Simplify right side
    38.43x = 2,171.41
  5. Step 5: Solve for x
    x = 2,171.41/38.43
  6. Step 6: Final answer
    x = 56.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.