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Finding the Fourth Proportional to 516.25, 712.45 and 306.38

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Solution

The fourth proportional to 516.25, 712.45 and 306.38 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 712.45 = 306.38 : x
  2. Step 2: Convert to fraction form
    516.25/712.45 = 306.38/x
  3. Step 3: Cross multiply
    516.25x = 712.45 × 306.38
  4. Step 4: Simplify right side
    516.25x = 218,280.43
  5. Step 5: Solve for x
    x = 218,280.43/516.25
  6. Step 6: Final answer
    x = 422.82

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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.