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Finding the Fourth Proportional to 516.24, 773.84 and 208.08

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Solution

The fourth proportional to 516.24, 773.84 and 208.08 is: 311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 773.84 = 208.08 : x
  2. Step 2: Convert to fraction form
    516.24/773.84 = 208.08/x
  3. Step 3: Cross multiply
    516.24x = 773.84 × 208.08
  4. Step 4: Simplify right side
    516.24x = 161,020.63
  5. Step 5: Solve for x
    x = 161,020.63/516.24
  6. Step 6: Final answer
    x = 311.91

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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.