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Finding the Fourth Proportional to 408.62, 564.21 and 362.05

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Solution

The fourth proportional to 408.62, 564.21 and 362.05 is: 499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.62 : 564.21 = 362.05 : x
  2. Step 2: Convert to fraction form
    408.62/564.21 = 362.05/x
  3. Step 3: Cross multiply
    408.62x = 564.21 × 362.05
  4. Step 4: Simplify right side
    408.62x = 204,270.82
  5. Step 5: Solve for x
    x = 204,270.82/408.62
  6. Step 6: Final answer
    x = 499.90

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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.