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Finding the Fourth Proportional to 408.19, 563.12 and 242.41

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Solution

The fourth proportional to 408.19, 563.12 and 242.41 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.19 : 563.12 = 242.41 : x
  2. Step 2: Convert to fraction form
    408.19/563.12 = 242.41/x
  3. Step 3: Cross multiply
    408.19x = 563.12 × 242.41
  4. Step 4: Simplify right side
    408.19x = 136,505.92
  5. Step 5: Solve for x
    x = 136,505.92/408.19
  6. Step 6: Final answer
    x = 334.42

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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.