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Finding the Fourth Proportional to 408.05, 563.13 and 233.39

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Solution

The fourth proportional to 408.05, 563.13 and 233.39 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.05 : 563.13 = 233.39 : x
  2. Step 2: Convert to fraction form
    408.05/563.13 = 233.39/x
  3. Step 3: Cross multiply
    408.05x = 563.13 × 233.39
  4. Step 4: Simplify right side
    408.05x = 131,428.91
  5. Step 5: Solve for x
    x = 131,428.91/408.05
  6. Step 6: Final answer
    x = 322.09

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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.