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Finding the Fourth Proportional to 396.11, 546.65 and 221.45

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Solution

The fourth proportional to 396.11, 546.65 and 221.45 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.11 : 546.65 = 221.45 : x
  2. Step 2: Convert to fraction form
    396.11/546.65 = 221.45/x
  3. Step 3: Cross multiply
    396.11x = 546.65 × 221.45
  4. Step 4: Simplify right side
    396.11x = 121,051.80
  5. Step 5: Solve for x
    x = 121,051.80/396.11
  6. Step 6: Final answer
    x = 305.61

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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.