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Finding the Fourth Proportional to 408.76, 613.41 and 342.75

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Solution

The fourth proportional to 408.76, 613.41 and 342.75 is: 514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.76 : 613.41 = 342.75 : x
  2. Step 2: Convert to fraction form
    408.76/613.41 = 342.75/x
  3. Step 3: Cross multiply
    408.76x = 613.41 × 342.75
  4. Step 4: Simplify right side
    408.76x = 210,243.21
  5. Step 5: Solve for x
    x = 210,243.21/408.76
  6. Step 6: Final answer
    x = 514.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.