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Finding the Fourth Proportional to 422.68, 582.97 and 275.36

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Solution

The fourth proportional to 422.68, 582.97 and 275.36 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.68 : 582.97 = 275.36 : x
  2. Step 2: Convert to fraction form
    422.68/582.97 = 275.36/x
  3. Step 3: Cross multiply
    422.68x = 582.97 × 275.36
  4. Step 4: Simplify right side
    422.68x = 160,526.62
  5. Step 5: Solve for x
    x = 160,526.62/422.68
  6. Step 6: Final answer
    x = 379.78

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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.