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Finding the Fourth Proportional to 331.17, 496.28 and 243.82

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Solution

The fourth proportional to 331.17, 496.28 and 243.82 is: 365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.17 : 496.28 = 243.82 : x
  2. Step 2: Convert to fraction form
    331.17/496.28 = 243.82/x
  3. Step 3: Cross multiply
    331.17x = 496.28 × 243.82
  4. Step 4: Simplify right side
    331.17x = 121,002.63
  5. Step 5: Solve for x
    x = 121,002.63/331.17
  6. Step 6: Final answer
    x = 365.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.