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Finding the Fourth Proportional to 409.28, 613.62 and 263.19

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Solution

The fourth proportional to 409.28, 613.62 and 263.19 is: 394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.28 : 613.62 = 263.19 : x
  2. Step 2: Convert to fraction form
    409.28/613.62 = 263.19/x
  3. Step 3: Cross multiply
    409.28x = 613.62 × 263.19
  4. Step 4: Simplify right side
    409.28x = 161,498.65
  5. Step 5: Solve for x
    x = 161,498.65/409.28
  6. Step 6: Final answer
    x = 394.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.