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Finding the Fourth Proportional to 396.14, 546.66 and 219.09

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Solution

The fourth proportional to 396.14, 546.66 and 219.09 is: 302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 546.66 = 219.09 : x
  2. Step 2: Convert to fraction form
    396.14/546.66 = 219.09/x
  3. Step 3: Cross multiply
    396.14x = 546.66 × 219.09
  4. Step 4: Simplify right side
    396.14x = 119,767.74
  5. Step 5: Solve for x
    x = 119,767.74/396.14
  6. Step 6: Final answer
    x = 302.34

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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.