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Finding the Fourth Proportional to 408.70, 564.01 and 284.56

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Solution

The fourth proportional to 408.70, 564.01 and 284.56 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.70 : 564.01 = 284.56 : x
  2. Step 2: Convert to fraction form
    408.70/564.01 = 284.56/x
  3. Step 3: Cross multiply
    408.70x = 564.01 × 284.56
  4. Step 4: Simplify right side
    408.70x = 160,497.34
  5. Step 5: Solve for x
    x = 160,497.34/408.70
  6. Step 6: Final answer
    x = 392.71

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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.