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Finding the Fourth Proportional to 331.91, 496.71 and 201.83

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Solution

The fourth proportional to 331.91, 496.71 and 201.83 is: 302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.91 : 496.71 = 201.83 : x
  2. Step 2: Convert to fraction form
    331.91/496.71 = 201.83/x
  3. Step 3: Cross multiply
    331.91x = 496.71 × 201.83
  4. Step 4: Simplify right side
    331.91x = 100,252.22
  5. Step 5: Solve for x
    x = 100,252.22/331.91
  6. Step 6: Final answer
    x = 302.05

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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.