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Finding the Fourth Proportional to 220.96, 303.71 and 179.44

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Solution

The fourth proportional to 220.96, 303.71 and 179.44 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.96 : 303.71 = 179.44 : x
  2. Step 2: Convert to fraction form
    220.96/303.71 = 179.44/x
  3. Step 3: Cross multiply
    220.96x = 303.71 × 179.44
  4. Step 4: Simplify right side
    220.96x = 54,497.72
  5. Step 5: Solve for x
    x = 54,497.72/220.96
  6. Step 6: Final answer
    x = 246.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.