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Finding the Fourth Proportional to 396.16, 597.76 and 381.76

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Solution

The fourth proportional to 396.16, 597.76 and 381.76 is: 576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 597.76 = 381.76 : x
  2. Step 2: Convert to fraction form
    396.16/597.76 = 381.76/x
  3. Step 3: Cross multiply
    396.16x = 597.76 × 381.76
  4. Step 4: Simplify right side
    396.16x = 228,200.86
  5. Step 5: Solve for x
    x = 228,200.86/396.16
  6. Step 6: Final answer
    x = 576.03

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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.