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Finding the Fourth Proportional to 396.99, 592.57 and 369.14

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Solution

The fourth proportional to 396.99, 592.57 and 369.14 is: 550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.99 : 592.57 = 369.14 : x
  2. Step 2: Convert to fraction form
    396.99/592.57 = 369.14/x
  3. Step 3: Cross multiply
    396.99x = 592.57 × 369.14
  4. Step 4: Simplify right side
    396.99x = 218,736.71
  5. Step 5: Solve for x
    x = 218,736.71/396.99
  6. Step 6: Final answer
    x = 550.99

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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.