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Finding the Fourth Proportional to 408.02, 563.52 and 320.54

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Solution

The fourth proportional to 408.02, 563.52 and 320.54 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.02 : 563.52 = 320.54 : x
  2. Step 2: Convert to fraction form
    408.02/563.52 = 320.54/x
  3. Step 3: Cross multiply
    408.02x = 563.52 × 320.54
  4. Step 4: Simplify right side
    408.02x = 180,630.70
  5. Step 5: Solve for x
    x = 180,630.70/408.02
  6. Step 6: Final answer
    x = 442.70

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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.