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Finding the Fourth Proportional to 442.72, 611.45 and 331.09

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Solution

The fourth proportional to 442.72, 611.45 and 331.09 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 611.45 = 331.09 : x
  2. Step 2: Convert to fraction form
    442.72/611.45 = 331.09/x
  3. Step 3: Cross multiply
    442.72x = 611.45 × 331.09
  4. Step 4: Simplify right side
    442.72x = 202,443.04
  5. Step 5: Solve for x
    x = 202,443.04/442.72
  6. Step 6: Final answer
    x = 457.28

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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.