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Finding the Fourth Proportional to 516.57, 775.21 and 191.94

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Solution

The fourth proportional to 516.57, 775.21 and 191.94 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 775.21 = 191.94 : x
  2. Step 2: Convert to fraction form
    516.57/775.21 = 191.94/x
  3. Step 3: Cross multiply
    516.57x = 775.21 × 191.94
  4. Step 4: Simplify right side
    516.57x = 148,793.81
  5. Step 5: Solve for x
    x = 148,793.81/516.57
  6. Step 6: Final answer
    x = 288.04

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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.