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Finding the Fourth Proportional to 516.10, 773.94 and 186.95

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Solution

The fourth proportional to 516.10, 773.94 and 186.95 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.10 : 773.94 = 186.95 : x
  2. Step 2: Convert to fraction form
    516.10/773.94 = 186.95/x
  3. Step 3: Cross multiply
    516.10x = 773.94 × 186.95
  4. Step 4: Simplify right side
    516.10x = 144,684.21
  5. Step 5: Solve for x
    x = 144,684.21/516.10
  6. Step 6: Final answer
    x = 280.34

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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.