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Finding the Fourth Proportional to 396.05, 546.71 and 248.72

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Solution

The fourth proportional to 396.05, 546.71 and 248.72 is: 343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.05 : 546.71 = 248.72 : x
  2. Step 2: Convert to fraction form
    396.05/546.71 = 248.72/x
  3. Step 3: Cross multiply
    396.05x = 546.71 × 248.72
  4. Step 4: Simplify right side
    396.05x = 135,976.47
  5. Step 5: Solve for x
    x = 135,976.47/396.05
  6. Step 6: Final answer
    x = 343.33

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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.