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Finding the Fourth Proportional to 331.47, 457.82 and 220.74

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Solution

The fourth proportional to 331.47, 457.82 and 220.74 is: 304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.47 : 457.82 = 220.74 : x
  2. Step 2: Convert to fraction form
    331.47/457.82 = 220.74/x
  3. Step 3: Cross multiply
    331.47x = 457.82 × 220.74
  4. Step 4: Simplify right side
    331.47x = 101,058.08
  5. Step 5: Solve for x
    x = 101,058.08/331.47
  6. Step 6: Final answer
    x = 304.88

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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.