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Finding the Fourth Proportional to 331.86, 458.03 and 199.09

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Solution

The fourth proportional to 331.86, 458.03 and 199.09 is: 274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.86 : 458.03 = 199.09 : x
  2. Step 2: Convert to fraction form
    331.86/458.03 = 199.09/x
  3. Step 3: Cross multiply
    331.86x = 458.03 × 199.09
  4. Step 4: Simplify right side
    331.86x = 91,189.19
  5. Step 5: Solve for x
    x = 91,189.19/331.86
  6. Step 6: Final answer
    x = 274.78

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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.