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Finding the Fourth Proportional to 408.74, 563.81 and 242.84

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Solution

The fourth proportional to 408.74, 563.81 and 242.84 is: 334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.74 : 563.81 = 242.84 : x
  2. Step 2: Convert to fraction form
    408.74/563.81 = 242.84/x
  3. Step 3: Cross multiply
    408.74x = 563.81 × 242.84
  4. Step 4: Simplify right side
    408.74x = 136,915.62
  5. Step 5: Solve for x
    x = 136,915.62/408.74
  6. Step 6: Final answer
    x = 334.97

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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.