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Finding the Fourth Proportional to 409.75, 614.22 and 263.09

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Solution

The fourth proportional to 409.75, 614.22 and 263.09 is: 394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 614.22 = 263.09 : x
  2. Step 2: Convert to fraction form
    409.75/614.22 = 263.09/x
  3. Step 3: Cross multiply
    409.75x = 614.22 × 263.09
  4. Step 4: Simplify right side
    409.75x = 161,595.36
  5. Step 5: Solve for x
    x = 161,595.36/409.75
  6. Step 6: Final answer
    x = 394.38

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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.