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Finding the Fourth Proportional to 252.19, 377.41 and 200.39

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Solution

The fourth proportional to 252.19, 377.41 and 200.39 is: 299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.19 : 377.41 = 200.39 : x
  2. Step 2: Convert to fraction form
    252.19/377.41 = 200.39/x
  3. Step 3: Cross multiply
    252.19x = 377.41 × 200.39
  4. Step 4: Simplify right side
    252.19x = 75,629.19
  5. Step 5: Solve for x
    x = 75,629.19/252.19
  6. Step 6: Final answer
    x = 299.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.