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Finding the Fourth Proportional to 252.75, 377.66 and 200.85

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Solution

The fourth proportional to 252.75, 377.66 and 200.85 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 377.66 = 200.85 : x
  2. Step 2: Convert to fraction form
    252.75/377.66 = 200.85/x
  3. Step 3: Cross multiply
    252.75x = 377.66 × 200.85
  4. Step 4: Simplify right side
    252.75x = 75,852.01
  5. Step 5: Solve for x
    x = 75,852.01/252.75
  6. Step 6: Final answer
    x = 300.11

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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.