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Finding the Fourth Proportional to 422.65, 582.06 and 363.21

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Solution

The fourth proportional to 422.65, 582.06 and 363.21 is: 500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.65 : 582.06 = 363.21 : x
  2. Step 2: Convert to fraction form
    422.65/582.06 = 363.21/x
  3. Step 3: Cross multiply
    422.65x = 582.06 × 363.21
  4. Step 4: Simplify right side
    422.65x = 211,410.01
  5. Step 5: Solve for x
    x = 211,410.01/422.65
  6. Step 6: Final answer
    x = 500.20

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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.