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Finding the Fourth Proportional to 331.86, 457.97 and 200.91

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Solution

The fourth proportional to 331.86, 457.97 and 200.91 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.86 : 457.97 = 200.91 : x
  2. Step 2: Convert to fraction form
    331.86/457.97 = 200.91/x
  3. Step 3: Cross multiply
    331.86x = 457.97 × 200.91
  4. Step 4: Simplify right side
    331.86x = 92,009.75
  5. Step 5: Solve for x
    x = 92,009.75/331.86
  6. Step 6: Final answer
    x = 277.25

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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.