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Finding the Fourth Proportional to 513.98, 709.30 and 281.11

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Solution

The fourth proportional to 513.98, 709.30 and 281.11 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 709.30 = 281.11 : x
  2. Step 2: Convert to fraction form
    513.98/709.30 = 281.11/x
  3. Step 3: Cross multiply
    513.98x = 709.30 × 281.11
  4. Step 4: Simplify right side
    513.98x = 199,391.23
  5. Step 5: Solve for x
    x = 199,391.23/513.98
  6. Step 6: Final answer
    x = 387.93

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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.