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Finding the Fourth Proportional to 396.56, 547.16 and 241.28

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Solution

The fourth proportional to 396.56, 547.16 and 241.28 is: 332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.56 : 547.16 = 241.28 : x
  2. Step 2: Convert to fraction form
    396.56/547.16 = 241.28/x
  3. Step 3: Cross multiply
    396.56x = 547.16 × 241.28
  4. Step 4: Simplify right side
    396.56x = 132,018.76
  5. Step 5: Solve for x
    x = 132,018.76/396.56
  6. Step 6: Final answer
    x = 332.91

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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.