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Finding the Fourth Proportional to 513.36, 708.46 and 280.49

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Solution

The fourth proportional to 513.36, 708.46 and 280.49 is: 387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.36 : 708.46 = 280.49 : x
  2. Step 2: Convert to fraction form
    513.36/708.46 = 280.49/x
  3. Step 3: Cross multiply
    513.36x = 708.46 × 280.49
  4. Step 4: Simplify right side
    513.36x = 198,711.70
  5. Step 5: Solve for x
    x = 198,711.70/513.36
  6. Step 6: Final answer
    x = 387.08

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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.