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Finding the Fourth Proportional to 481.38, 664.26 and 282.23

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Solution

The fourth proportional to 481.38, 664.26 and 282.23 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.38 : 664.26 = 282.23 : x
  2. Step 2: Convert to fraction form
    481.38/664.26 = 282.23/x
  3. Step 3: Cross multiply
    481.38x = 664.26 × 282.23
  4. Step 4: Simplify right side
    481.38x = 187,475.95
  5. Step 5: Solve for x
    x = 187,475.95/481.38
  6. Step 6: Final answer
    x = 389.45

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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.