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Finding the Fourth Proportional to 408.72, 565.02 and 343.20

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Solution

The fourth proportional to 408.72, 565.02 and 343.20 is: 474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.72 : 565.02 = 343.20 : x
  2. Step 2: Convert to fraction form
    408.72/565.02 = 343.20/x
  3. Step 3: Cross multiply
    408.72x = 565.02 × 343.20
  4. Step 4: Simplify right side
    408.72x = 193,914.86
  5. Step 5: Solve for x
    x = 193,914.86/408.72
  6. Step 6: Final answer
    x = 474.44

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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.