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Finding the Fourth Proportional to 396.90, 549.18 and 345.26

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Solution

The fourth proportional to 396.90, 549.18 and 345.26 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 549.18 = 345.26 : x
  2. Step 2: Convert to fraction form
    396.90/549.18 = 345.26/x
  3. Step 3: Cross multiply
    396.90x = 549.18 × 345.26
  4. Step 4: Simplify right side
    396.90x = 189,611.26
  5. Step 5: Solve for x
    x = 189,611.26/396.90
  6. Step 6: Final answer
    x = 477.73

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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.