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Finding the Fourth Proportional to 331.70, 457.80 and 200.78

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Solution

The fourth proportional to 331.70, 457.80 and 200.78 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.70 : 457.80 = 200.78 : x
  2. Step 2: Convert to fraction form
    331.70/457.80 = 200.78/x
  3. Step 3: Cross multiply
    331.70x = 457.80 × 200.78
  4. Step 4: Simplify right side
    331.70x = 91,914.80
  5. Step 5: Solve for x
    x = 91,914.80/331.70
  6. Step 6: Final answer
    x = 277.10

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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.