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Finding the Fourth Proportional to 422.26, 582.34 and 274.64

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Solution

The fourth proportional to 422.26, 582.34 and 274.64 is: 378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.26 : 582.34 = 274.64 : x
  2. Step 2: Convert to fraction form
    422.26/582.34 = 274.64/x
  3. Step 3: Cross multiply
    422.26x = 582.34 × 274.64
  4. Step 4: Simplify right side
    422.26x = 159,933.86
  5. Step 5: Solve for x
    x = 159,933.86/422.26
  6. Step 6: Final answer
    x = 378.76

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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.