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Finding the Fourth Proportional to 396.71, 547.05 and 256.84

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Solution

The fourth proportional to 396.71, 547.05 and 256.84 is: 354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.71 : 547.05 = 256.84 : x
  2. Step 2: Convert to fraction form
    396.71/547.05 = 256.84/x
  3. Step 3: Cross multiply
    396.71x = 547.05 × 256.84
  4. Step 4: Simplify right side
    396.71x = 140,503.92
  5. Step 5: Solve for x
    x = 140,503.92/396.71
  6. Step 6: Final answer
    x = 354.17

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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.