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Finding the Fourth Proportional to 396.94, 546.72 and 291.76

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Solution

The fourth proportional to 396.94, 546.72 and 291.76 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.94 : 546.72 = 291.76 : x
  2. Step 2: Convert to fraction form
    396.94/546.72 = 291.76/x
  3. Step 3: Cross multiply
    396.94x = 546.72 × 291.76
  4. Step 4: Simplify right side
    396.94x = 159,511.03
  5. Step 5: Solve for x
    x = 159,511.03/396.94
  6. Step 6: Final answer
    x = 401.85

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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.