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Finding the Fourth Proportional to 396.10, 546.63 and 221.41

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Solution

The fourth proportional to 396.10, 546.63 and 221.41 is: 305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.10 : 546.63 = 221.41 : x
  2. Step 2: Convert to fraction form
    396.10/546.63 = 221.41/x
  3. Step 3: Cross multiply
    396.10x = 546.63 × 221.41
  4. Step 4: Simplify right side
    396.10x = 121,026.62
  5. Step 5: Solve for x
    x = 121,026.62/396.10
  6. Step 6: Final answer
    x = 305.55

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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.