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Finding the Fourth Proportional to 396.46, 548.40 and 335.26

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Solution

The fourth proportional to 396.46, 548.40 and 335.26 is: 463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.46 : 548.40 = 335.26 : x
  2. Step 2: Convert to fraction form
    396.46/548.40 = 335.26/x
  3. Step 3: Cross multiply
    396.46x = 548.40 × 335.26
  4. Step 4: Simplify right side
    396.46x = 183,856.58
  5. Step 5: Solve for x
    x = 183,856.58/396.46
  6. Step 6: Final answer
    x = 463.75

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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.