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Finding the Fourth Proportional to 396.40, 547.06 and 239.06

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Solution

The fourth proportional to 396.40, 547.06 and 239.06 is: 329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.40 : 547.06 = 239.06 : x
  2. Step 2: Convert to fraction form
    396.40/547.06 = 239.06/x
  3. Step 3: Cross multiply
    396.40x = 547.06 × 239.06
  4. Step 4: Simplify right side
    396.40x = 130,780.16
  5. Step 5: Solve for x
    x = 130,780.16/396.40
  6. Step 6: Final answer
    x = 329.92

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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.