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Finding the Fourth Proportional to 396.58, 547.43 and 355.06

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Solution

The fourth proportional to 396.58, 547.43 and 355.06 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.58 : 547.43 = 355.06 : x
  2. Step 2: Convert to fraction form
    396.58/547.43 = 355.06/x
  3. Step 3: Cross multiply
    396.58x = 547.43 × 355.06
  4. Step 4: Simplify right side
    396.58x = 194,370.50
  5. Step 5: Solve for x
    x = 194,370.50/396.58
  6. Step 6: Final answer
    x = 490.12

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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.