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Finding the Fourth Proportional to 408.16, 563.72 and 326.16

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Solution

The fourth proportional to 408.16, 563.72 and 326.16 is: 450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 563.72 = 326.16 : x
  2. Step 2: Convert to fraction form
    408.16/563.72 = 326.16/x
  3. Step 3: Cross multiply
    408.16x = 563.72 × 326.16
  4. Step 4: Simplify right side
    408.16x = 183,862.92
  5. Step 5: Solve for x
    x = 183,862.92/408.16
  6. Step 6: Final answer
    x = 450.47

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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.