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Finding the Fourth Proportional to 331.78, 457.41 and 282.55

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Solution

The fourth proportional to 331.78, 457.41 and 282.55 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.78 : 457.41 = 282.55 : x
  2. Step 2: Convert to fraction form
    331.78/457.41 = 282.55/x
  3. Step 3: Cross multiply
    331.78x = 457.41 × 282.55
  4. Step 4: Simplify right side
    331.78x = 129,241.20
  5. Step 5: Solve for x
    x = 129,241.20/331.78
  6. Step 6: Final answer
    x = 389.54

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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.