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Finding the Fourth Proportional to 408.31, 563.66 and 233.62

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Solution

The fourth proportional to 408.31, 563.66 and 233.62 is: 322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.31 : 563.66 = 233.62 : x
  2. Step 2: Convert to fraction form
    408.31/563.66 = 233.62/x
  3. Step 3: Cross multiply
    408.31x = 563.66 × 233.62
  4. Step 4: Simplify right side
    408.31x = 131,680.55
  5. Step 5: Solve for x
    x = 131,680.55/408.31
  6. Step 6: Final answer
    x = 322.50

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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.