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Finding the Fourth Proportional to 396.89, 547.61 and 266.28

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Solution

The fourth proportional to 396.89, 547.61 and 266.28 is: 367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.89 : 547.61 = 266.28 : x
  2. Step 2: Convert to fraction form
    396.89/547.61 = 266.28/x
  3. Step 3: Cross multiply
    396.89x = 547.61 × 266.28
  4. Step 4: Simplify right side
    396.89x = 145,817.59
  5. Step 5: Solve for x
    x = 145,817.59/396.89
  6. Step 6: Final answer
    x = 367.40

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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.