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Finding the Fourth Proportional to 396.42, 547.25 and 298.21

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Solution

The fourth proportional to 396.42, 547.25 and 298.21 is: 411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.42 : 547.25 = 298.21 : x
  2. Step 2: Convert to fraction form
    396.42/547.25 = 298.21/x
  3. Step 3: Cross multiply
    396.42x = 547.25 × 298.21
  4. Step 4: Simplify right side
    396.42x = 163,195.42
  5. Step 5: Solve for x
    x = 163,195.42/396.42
  6. Step 6: Final answer
    x = 411.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.