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Finding the Fourth Proportional to 408.34, 563.46 and 233.65

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Solution

The fourth proportional to 408.34, 563.46 and 233.65 is: 322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.34 : 563.46 = 233.65 : x
  2. Step 2: Convert to fraction form
    408.34/563.46 = 233.65/x
  3. Step 3: Cross multiply
    408.34x = 563.46 × 233.65
  4. Step 4: Simplify right side
    408.34x = 131,652.43
  5. Step 5: Solve for x
    x = 131,652.43/408.34
  6. Step 6: Final answer
    x = 322.41

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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.