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Finding the Fourth Proportional to 396.19, 596.43 and 356.50

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Solution

The fourth proportional to 396.19, 596.43 and 356.50 is: 536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 596.43 = 356.50 : x
  2. Step 2: Convert to fraction form
    396.19/596.43 = 356.50/x
  3. Step 3: Cross multiply
    396.19x = 596.43 × 356.50
  4. Step 4: Simplify right side
    396.19x = 212,627.30
  5. Step 5: Solve for x
    x = 212,627.30/396.19
  6. Step 6: Final answer
    x = 536.68

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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.