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Finding the Fourth Proportional to 331.33, 457.31 and 220.81

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Solution

The fourth proportional to 331.33, 457.31 and 220.81 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.33 : 457.31 = 220.81 : x
  2. Step 2: Convert to fraction form
    331.33/457.31 = 220.81/x
  3. Step 3: Cross multiply
    331.33x = 457.31 × 220.81
  4. Step 4: Simplify right side
    331.33x = 100,978.62
  5. Step 5: Solve for x
    x = 100,978.62/331.33
  6. Step 6: Final answer
    x = 304.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.