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Finding the Fourth Proportional to 331.09, 456.74 and 220.57

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Solution

The fourth proportional to 331.09, 456.74 and 220.57 is: 304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.09 : 456.74 = 220.57 : x
  2. Step 2: Convert to fraction form
    331.09/456.74 = 220.57/x
  3. Step 3: Cross multiply
    331.09x = 456.74 × 220.57
  4. Step 4: Simplify right side
    331.09x = 100,744.29
  5. Step 5: Solve for x
    x = 100,744.29/331.09
  6. Step 6: Final answer
    x = 304.28

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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.