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Finding the Fourth Proportional to 331.84, 457.81 and 221.28

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Solution

The fourth proportional to 331.84, 457.81 and 221.28 is: 305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.84 : 457.81 = 221.28 : x
  2. Step 2: Convert to fraction form
    331.84/457.81 = 221.28/x
  3. Step 3: Cross multiply
    331.84x = 457.81 × 221.28
  4. Step 4: Simplify right side
    331.84x = 101,304.20
  5. Step 5: Solve for x
    x = 101,304.20/331.84
  6. Step 6: Final answer
    x = 305.28

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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.