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Finding the Fourth Proportional to 396.49, 546.89 and 248.99

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Solution

The fourth proportional to 396.49, 546.89 and 248.99 is: 343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.49 : 546.89 = 248.99 : x
  2. Step 2: Convert to fraction form
    396.49/546.89 = 248.99/x
  3. Step 3: Cross multiply
    396.49x = 546.89 × 248.99
  4. Step 4: Simplify right side
    396.49x = 136,170.14
  5. Step 5: Solve for x
    x = 136,170.14/396.49
  6. Step 6: Final answer
    x = 343.44

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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.