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Finding the Fourth Proportional to 408.38, 609.80 and 362.21

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Solution

The fourth proportional to 408.38, 609.80 and 362.21 is: 540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.38 : 609.80 = 362.21 : x
  2. Step 2: Convert to fraction form
    408.38/609.80 = 362.21/x
  3. Step 3: Cross multiply
    408.38x = 609.80 × 362.21
  4. Step 4: Simplify right side
    408.38x = 220,870.80
  5. Step 5: Solve for x
    x = 220,870.80/408.38
  6. Step 6: Final answer
    x = 540.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.