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Finding the Fourth Proportional to 331.98, 457.97 and 207.78

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Solution

The fourth proportional to 331.98, 457.97 and 207.78 is: 286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.98 : 457.97 = 207.78 : x
  2. Step 2: Convert to fraction form
    331.98/457.97 = 207.78/x
  3. Step 3: Cross multiply
    331.98x = 457.97 × 207.78
  4. Step 4: Simplify right side
    331.98x = 95,155.97
  5. Step 5: Solve for x
    x = 95,155.97/331.98
  6. Step 6: Final answer
    x = 286.63

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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.