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Finding the Fourth Proportional to 252.80, 377.50 and 200.86

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Solution

The fourth proportional to 252.80, 377.50 and 200.86 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.80 : 377.50 = 200.86 : x
  2. Step 2: Convert to fraction form
    252.80/377.50 = 200.86/x
  3. Step 3: Cross multiply
    252.80x = 377.50 × 200.86
  4. Step 4: Simplify right side
    252.80x = 75,824.65
  5. Step 5: Solve for x
    x = 75,824.65/252.80
  6. Step 6: Final answer
    x = 299.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.