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Finding the Fourth Proportional to 481.31, 663.96 and 282.00

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Solution

The fourth proportional to 481.31, 663.96 and 282.00 is: 389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.31 : 663.96 = 282.00 : x
  2. Step 2: Convert to fraction form
    481.31/663.96 = 282.00/x
  3. Step 3: Cross multiply
    481.31x = 663.96 × 282.00
  4. Step 4: Simplify right side
    481.31x = 187,240.27
  5. Step 5: Solve for x
    x = 187,240.27/481.31
  6. Step 6: Final answer
    x = 389.02

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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.