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Finding the Fourth Proportional to 513.20, 708.24 and 292.18

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Solution

The fourth proportional to 513.20, 708.24 and 292.18 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 708.24 = 292.18 : x
  2. Step 2: Convert to fraction form
    513.20/708.24 = 292.18/x
  3. Step 3: Cross multiply
    513.20x = 708.24 × 292.18
  4. Step 4: Simplify right side
    513.20x = 206,933.56
  5. Step 5: Solve for x
    x = 206,933.56/513.20
  6. Step 6: Final answer
    x = 403.22

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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.