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Finding the Fourth Proportional to 396.42, 597.67 and 335.98

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Solution

The fourth proportional to 396.42, 597.67 and 335.98 is: 506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.42 : 597.67 = 335.98 : x
  2. Step 2: Convert to fraction form
    396.42/597.67 = 335.98/x
  3. Step 3: Cross multiply
    396.42x = 597.67 × 335.98
  4. Step 4: Simplify right side
    396.42x = 200,805.17
  5. Step 5: Solve for x
    x = 200,805.17/396.42
  6. Step 6: Final answer
    x = 506.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.