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Finding the Fourth Proportional to 396.76, 591.91 and 332.16

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Solution

The fourth proportional to 396.76, 591.91 and 332.16 is: 495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.76 : 591.91 = 332.16 : x
  2. Step 2: Convert to fraction form
    396.76/591.91 = 332.16/x
  3. Step 3: Cross multiply
    396.76x = 591.91 × 332.16
  4. Step 4: Simplify right side
    396.76x = 196,608.00
  5. Step 5: Solve for x
    x = 196,608.00/396.76
  6. Step 6: Final answer
    x = 495.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.