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Finding the Fourth Proportional to 396.98, 548.16 and 384.74

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Solution

The fourth proportional to 396.98, 548.16 and 384.74 is: 531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.98 : 548.16 = 384.74 : x
  2. Step 2: Convert to fraction form
    396.98/548.16 = 384.74/x
  3. Step 3: Cross multiply
    396.98x = 548.16 × 384.74
  4. Step 4: Simplify right side
    396.98x = 210,899.08
  5. Step 5: Solve for x
    x = 210,899.08/396.98
  6. Step 6: Final answer
    x = 531.26

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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.