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Finding the Fourth Proportional to 396.95, 548.07 and 257.15

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Solution

The fourth proportional to 396.95, 548.07 and 257.15 is: 355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.95 : 548.07 = 257.15 : x
  2. Step 2: Convert to fraction form
    396.95/548.07 = 257.15/x
  3. Step 3: Cross multiply
    396.95x = 548.07 × 257.15
  4. Step 4: Simplify right side
    396.95x = 140,933.46
  5. Step 5: Solve for x
    x = 140,933.46/396.95
  6. Step 6: Final answer
    x = 355.05

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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.