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Finding the Fourth Proportional to 396.45, 548.28 and 347.24

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Solution

The fourth proportional to 396.45, 548.28 and 347.24 is: 480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 548.28 = 347.24 : x
  2. Step 2: Convert to fraction form
    396.45/548.28 = 347.24/x
  3. Step 3: Cross multiply
    396.45x = 548.28 × 347.24
  4. Step 4: Simplify right side
    396.45x = 190,386.12
  5. Step 5: Solve for x
    x = 190,386.12/396.45
  6. Step 6: Final answer
    x = 480.23

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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.