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Finding the Fourth Proportional to 516.99, 775.48 and 200.37

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Solution

The fourth proportional to 516.99, 775.48 and 200.37 is: 300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.99 : 775.48 = 200.37 : x
  2. Step 2: Convert to fraction form
    516.99/775.48 = 200.37/x
  3. Step 3: Cross multiply
    516.99x = 775.48 × 200.37
  4. Step 4: Simplify right side
    516.99x = 155,382.93
  5. Step 5: Solve for x
    x = 155,382.93/516.99
  6. Step 6: Final answer
    x = 300.55

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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.