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Finding the Fourth Proportional to 331.99, 457.94 and 227.09

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Solution

The fourth proportional to 331.99, 457.94 and 227.09 is: 313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.99 : 457.94 = 227.09 : x
  2. Step 2: Convert to fraction form
    331.99/457.94 = 227.09/x
  3. Step 3: Cross multiply
    331.99x = 457.94 × 227.09
  4. Step 4: Simplify right side
    331.99x = 103,995.31
  5. Step 5: Solve for x
    x = 103,995.31/331.99
  6. Step 6: Final answer
    x = 313.25

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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.