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Finding the Fourth Proportional to 409.21, 563.91 and 329.35

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Solution

The fourth proportional to 409.21, 563.91 and 329.35 is: 453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.21 : 563.91 = 329.35 : x
  2. Step 2: Convert to fraction form
    409.21/563.91 = 329.35/x
  3. Step 3: Cross multiply
    409.21x = 563.91 × 329.35
  4. Step 4: Simplify right side
    409.21x = 185,723.76
  5. Step 5: Solve for x
    x = 185,723.76/409.21
  6. Step 6: Final answer
    x = 453.86

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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.