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Finding the Fourth Proportional to 396.05, 546.49 and 221.40

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Solution

The fourth proportional to 396.05, 546.49 and 221.40 is: 305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.05 : 546.49 = 221.40 : x
  2. Step 2: Convert to fraction form
    396.05/546.49 = 221.40/x
  3. Step 3: Cross multiply
    396.05x = 546.49 × 221.40
  4. Step 4: Simplify right side
    396.05x = 120,992.89
  5. Step 5: Solve for x
    x = 120,992.89/396.05
  6. Step 6: Final answer
    x = 305.50

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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.