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Finding the Fourth Proportional to 396.98, 548.64 and 298.70

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Solution

The fourth proportional to 396.98, 548.64 and 298.70 is: 412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.98 : 548.64 = 298.70 : x
  2. Step 2: Convert to fraction form
    396.98/548.64 = 298.70/x
  3. Step 3: Cross multiply
    396.98x = 548.64 × 298.70
  4. Step 4: Simplify right side
    396.98x = 163,878.77
  5. Step 5: Solve for x
    x = 163,878.77/396.98
  6. Step 6: Final answer
    x = 412.81

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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.