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Finding the Fourth Proportional to 516.20, 711.69 and 338.81

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Solution

The fourth proportional to 516.20, 711.69 and 338.81 is: 467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 711.69 = 338.81 : x
  2. Step 2: Convert to fraction form
    516.20/711.69 = 338.81/x
  3. Step 3: Cross multiply
    516.20x = 711.69 × 338.81
  4. Step 4: Simplify right side
    516.20x = 241,127.69
  5. Step 5: Solve for x
    x = 241,127.69/516.20
  6. Step 6: Final answer
    x = 467.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.