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Finding the Fourth Proportional to 396.77, 594.41 and 332.18

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Solution

The fourth proportional to 396.77, 594.41 and 332.18 is: 497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.77 : 594.41 = 332.18 : x
  2. Step 2: Convert to fraction form
    396.77/594.41 = 332.18/x
  3. Step 3: Cross multiply
    396.77x = 594.41 × 332.18
  4. Step 4: Simplify right side
    396.77x = 197,453.92
  5. Step 5: Solve for x
    x = 197,453.92/396.77
  6. Step 6: Final answer
    x = 497.66

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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.