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Finding the Fourth Proportional to 516.25, 712.40 and 306.43

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Solution

The fourth proportional to 516.25, 712.40 and 306.43 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 712.40 = 306.43 : x
  2. Step 2: Convert to fraction form
    516.25/712.40 = 306.43/x
  3. Step 3: Cross multiply
    516.25x = 712.40 × 306.43
  4. Step 4: Simplify right side
    516.25x = 218,300.73
  5. Step 5: Solve for x
    x = 218,300.73/516.25
  6. Step 6: Final answer
    x = 422.86

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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.