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Finding the Fourth Proportional to 408.55, 563.71 and 242.82

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Solution

The fourth proportional to 408.55, 563.71 and 242.82 is: 335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.55 : 563.71 = 242.82 : x
  2. Step 2: Convert to fraction form
    408.55/563.71 = 242.82/x
  3. Step 3: Cross multiply
    408.55x = 563.71 × 242.82
  4. Step 4: Simplify right side
    408.55x = 136,880.06
  5. Step 5: Solve for x
    x = 136,880.06/408.55
  6. Step 6: Final answer
    x = 335.04

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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.