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Finding the Fourth Proportional to 422.08, 582.24 and 274.72

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Solution

The fourth proportional to 422.08, 582.24 and 274.72 is: 378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.08 : 582.24 = 274.72 : x
  2. Step 2: Convert to fraction form
    422.08/582.24 = 274.72/x
  3. Step 3: Cross multiply
    422.08x = 582.24 × 274.72
  4. Step 4: Simplify right side
    422.08x = 159,952.97
  5. Step 5: Solve for x
    x = 159,952.97/422.08
  6. Step 6: Final answer
    x = 378.96

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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.