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Finding the Fourth Proportional to 422.06, 582.21 and 274.75

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Solution

The fourth proportional to 422.06, 582.21 and 274.75 is: 379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 582.21 = 274.75 : x
  2. Step 2: Convert to fraction form
    422.06/582.21 = 274.75/x
  3. Step 3: Cross multiply
    422.06x = 582.21 × 274.75
  4. Step 4: Simplify right side
    422.06x = 159,960.74
  5. Step 5: Solve for x
    x = 159,960.74/422.06
  6. Step 6: Final answer
    x = 379.00

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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.