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Finding the Fourth Proportional to 516.11, 712.14 and 306.32

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Solution

The fourth proportional to 516.11, 712.14 and 306.32 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.11 : 712.14 = 306.32 : x
  2. Step 2: Convert to fraction form
    516.11/712.14 = 306.32/x
  3. Step 3: Cross multiply
    516.11x = 712.14 × 306.32
  4. Step 4: Simplify right side
    516.11x = 218,142.72
  5. Step 5: Solve for x
    x = 218,142.72/516.11
  6. Step 6: Final answer
    x = 422.67

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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.