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Finding the Fourth Proportional to 396.82, 592.13 and 355.83

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Solution

The fourth proportional to 396.82, 592.13 and 355.83 is: 530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.82 : 592.13 = 355.83 : x
  2. Step 2: Convert to fraction form
    396.82/592.13 = 355.83/x
  3. Step 3: Cross multiply
    396.82x = 592.13 × 355.83
  4. Step 4: Simplify right side
    396.82x = 210,697.62
  5. Step 5: Solve for x
    x = 210,697.62/396.82
  6. Step 6: Final answer
    x = 530.97

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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.