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Finding the Fourth Proportional to 481.26, 664.24 and 282.14

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Solution

The fourth proportional to 481.26, 664.24 and 282.14 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.26 : 664.24 = 282.14 : x
  2. Step 2: Convert to fraction form
    481.26/664.24 = 282.14/x
  3. Step 3: Cross multiply
    481.26x = 664.24 × 282.14
  4. Step 4: Simplify right side
    481.26x = 187,408.67
  5. Step 5: Solve for x
    x = 187,408.67/481.26
  6. Step 6: Final answer
    x = 389.41

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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.