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Finding the Fourth Proportional to 68.28, 94.23 and 38.78

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Solution

The fourth proportional to 68.28, 94.23 and 38.78 is: 53.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.28 : 94.23 = 38.78 : x
  2. Step 2: Convert to fraction form
    68.28/94.23 = 38.78/x
  3. Step 3: Cross multiply
    68.28x = 94.23 × 38.78
  4. Step 4: Simplify right side
    68.28x = 3,653.77
  5. Step 5: Solve for x
    x = 3,653.77/68.28
  6. Step 6: Final answer
    x = 53.51

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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.