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Finding the Fourth Proportional to 422.22, 583.44 and 339.21

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Solution

The fourth proportional to 422.22, 583.44 and 339.21 is: 468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.22 : 583.44 = 339.21 : x
  2. Step 2: Convert to fraction form
    422.22/583.44 = 339.21/x
  3. Step 3: Cross multiply
    422.22x = 583.44 × 339.21
  4. Step 4: Simplify right side
    422.22x = 197,908.68
  5. Step 5: Solve for x
    x = 197,908.68/422.22
  6. Step 6: Final answer
    x = 468.73

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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.