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Finding the Fourth Proportional to 396.15, 546.68 and 221.49

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Solution

The fourth proportional to 396.15, 546.68 and 221.49 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.15 : 546.68 = 221.49 : x
  2. Step 2: Convert to fraction form
    396.15/546.68 = 221.49/x
  3. Step 3: Cross multiply
    396.15x = 546.68 × 221.49
  4. Step 4: Simplify right side
    396.15x = 121,084.71
  5. Step 5: Solve for x
    x = 121,084.71/396.15
  6. Step 6: Final answer
    x = 305.66

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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.