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Finding the Fourth Proportional to 422.01, 582.59 and 274.73

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Solution

The fourth proportional to 422.01, 582.59 and 274.73 is: 379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 582.59 = 274.73 : x
  2. Step 2: Convert to fraction form
    422.01/582.59 = 274.73/x
  3. Step 3: Cross multiply
    422.01x = 582.59 × 274.73
  4. Step 4: Simplify right side
    422.01x = 160,052.72
  5. Step 5: Solve for x
    x = 160,052.72/422.01
  6. Step 6: Final answer
    x = 379.26

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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.