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Finding the Fourth Proportional to 331.79, 457.87 and 182.41

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Solution

The fourth proportional to 331.79, 457.87 and 182.41 is: 251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.79 : 457.87 = 182.41 : x
  2. Step 2: Convert to fraction form
    331.79/457.87 = 182.41/x
  3. Step 3: Cross multiply
    331.79x = 457.87 × 182.41
  4. Step 4: Simplify right side
    331.79x = 83,520.07
  5. Step 5: Solve for x
    x = 83,520.07/331.79
  6. Step 6: Final answer
    x = 251.73

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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.