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Finding the Fourth Proportional to 422.22, 633.58 and 216.98

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Solution

The fourth proportional to 422.22, 633.58 and 216.98 is: 325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.22 : 633.58 = 216.98 : x
  2. Step 2: Convert to fraction form
    422.22/633.58 = 216.98/x
  3. Step 3: Cross multiply
    422.22x = 633.58 × 216.98
  4. Step 4: Simplify right side
    422.22x = 137,470.48
  5. Step 5: Solve for x
    x = 137,470.48/422.22
  6. Step 6: Final answer
    x = 325.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.