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Finding the Fourth Proportional to 516.15, 711.91 and 339.21

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Solution

The fourth proportional to 516.15, 711.91 and 339.21 is: 467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.15 : 711.91 = 339.21 : x
  2. Step 2: Convert to fraction form
    516.15/711.91 = 339.21/x
  3. Step 3: Cross multiply
    516.15x = 711.91 × 339.21
  4. Step 4: Simplify right side
    516.15x = 241,486.99
  5. Step 5: Solve for x
    x = 241,486.99/516.15
  6. Step 6: Final answer
    x = 467.86

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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.