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Finding the Fourth Proportional to 331.41, 496.90 and 157.97

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Solution

The fourth proportional to 331.41, 496.90 and 157.97 is: 236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.41 : 496.90 = 157.97 : x
  2. Step 2: Convert to fraction form
    331.41/496.90 = 157.97/x
  3. Step 3: Cross multiply
    331.41x = 496.90 × 157.97
  4. Step 4: Simplify right side
    331.41x = 78,495.29
  5. Step 5: Solve for x
    x = 78,495.29/331.41
  6. Step 6: Final answer
    x = 236.85

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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.