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Finding the Fourth Proportional to 396.31, 592.21 and 296.84

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Solution

The fourth proportional to 396.31, 592.21 and 296.84 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.31 : 592.21 = 296.84 : x
  2. Step 2: Convert to fraction form
    396.31/592.21 = 296.84/x
  3. Step 3: Cross multiply
    396.31x = 592.21 × 296.84
  4. Step 4: Simplify right side
    396.31x = 175,790.97
  5. Step 5: Solve for x
    x = 175,790.97/396.31
  6. Step 6: Final answer
    x = 443.57

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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.