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Finding the Fourth Proportional to 486.52, 671.92 and 331

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Solution

The fourth proportional to 486.52, 671.92 and 331 is: 457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.52 : 671.92 = 331 : x
  2. Step 2: Convert to fraction form
    486.52/671.92 = 331/x
  3. Step 3: Cross multiply
    486.52x = 671.92 × 331
  4. Step 4: Simplify right side
    486.52x = 222,405.52
  5. Step 5: Solve for x
    x = 222,405.52/486.52
  6. Step 6: Final answer
    x = 457.14

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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.