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Finding the Fourth Proportional to 396.98, 543.52 and 395.60

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Solution

The fourth proportional to 396.98, 543.52 and 395.60 is: 541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.98 : 543.52 = 395.60 : x
  2. Step 2: Convert to fraction form
    396.98/543.52 = 395.60/x
  3. Step 3: Cross multiply
    396.98x = 543.52 × 395.60
  4. Step 4: Simplify right side
    396.98x = 215,016.51
  5. Step 5: Solve for x
    x = 215,016.51/396.98
  6. Step 6: Final answer
    x = 541.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.