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Finding the Fourth Proportional to 516.30, 712.49 and 283.42

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Solution

The fourth proportional to 516.30, 712.49 and 283.42 is: 391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 712.49 = 283.42 : x
  2. Step 2: Convert to fraction form
    516.30/712.49 = 283.42/x
  3. Step 3: Cross multiply
    516.30x = 712.49 × 283.42
  4. Step 4: Simplify right side
    516.30x = 201,933.92
  5. Step 5: Solve for x
    x = 201,933.92/516.30
  6. Step 6: Final answer
    x = 391.12

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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.