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Finding the Fourth Proportional to 331.97, 456.37 and 282.56

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Solution

The fourth proportional to 331.97, 456.37 and 282.56 is: 388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 456.37 = 282.56 : x
  2. Step 2: Convert to fraction form
    331.97/456.37 = 282.56/x
  3. Step 3: Cross multiply
    331.97x = 456.37 × 282.56
  4. Step 4: Simplify right side
    331.97x = 128,948.92
  5. Step 5: Solve for x
    x = 128,948.92/331.97
  6. Step 6: Final answer
    x = 388.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.