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Finding the Fourth Proportional to 396.70, 548.04 and 313.54

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Solution

The fourth proportional to 396.70, 548.04 and 313.54 is: 433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.70 : 548.04 = 313.54 : x
  2. Step 2: Convert to fraction form
    396.70/548.04 = 313.54/x
  3. Step 3: Cross multiply
    396.70x = 548.04 × 313.54
  4. Step 4: Simplify right side
    396.70x = 171,832.46
  5. Step 5: Solve for x
    x = 171,832.46/396.70
  6. Step 6: Final answer
    x = 433.15

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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.