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Finding the Fourth Proportional to 396.88, 595.46 and 180.55

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Solution

The fourth proportional to 396.88, 595.46 and 180.55 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.88 : 595.46 = 180.55 : x
  2. Step 2: Convert to fraction form
    396.88/595.46 = 180.55/x
  3. Step 3: Cross multiply
    396.88x = 595.46 × 180.55
  4. Step 4: Simplify right side
    396.88x = 107,510.30
  5. Step 5: Solve for x
    x = 107,510.30/396.88
  6. Step 6: Final answer
    x = 270.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.