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Finding the Fourth Proportional to 408.35, 563.53 and 233.70

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Solution

The fourth proportional to 408.35, 563.53 and 233.70 is: 322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.35 : 563.53 = 233.70 : x
  2. Step 2: Convert to fraction form
    408.35/563.53 = 233.70/x
  3. Step 3: Cross multiply
    408.35x = 563.53 × 233.70
  4. Step 4: Simplify right side
    408.35x = 131,693.83
  5. Step 5: Solve for x
    x = 131,693.83/408.35
  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.