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Finding the Fourth Proportional to 513.99, 709.31 and 281.12

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Solution

The fourth proportional to 513.99, 709.31 and 281.12 is: 387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.99 : 709.31 = 281.12 : x
  2. Step 2: Convert to fraction form
    513.99/709.31 = 281.12/x
  3. Step 3: Cross multiply
    513.99x = 709.31 × 281.12
  4. Step 4: Simplify right side
    513.99x = 199,397.68
  5. Step 5: Solve for x
    x = 199,397.68/513.99
  6. Step 6: Final answer
    x = 387.94

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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.