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Finding the Fourth Proportional to 422.02, 582.13 and 305.65

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Solution

The fourth proportional to 422.02, 582.13 and 305.65 is: 421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.02 : 582.13 = 305.65 : x
  2. Step 2: Convert to fraction form
    422.02/582.13 = 305.65/x
  3. Step 3: Cross multiply
    422.02x = 582.13 × 305.65
  4. Step 4: Simplify right side
    422.02x = 177,928.03
  5. Step 5: Solve for x
    x = 177,928.03/422.02
  6. Step 6: Final answer
    x = 421.61

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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.