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Finding the Fourth Proportional to 221.58, 329.72 and 221.22

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Solution

The fourth proportional to 221.58, 329.72 and 221.22 is: 329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.58 : 329.72 = 221.22 : x
  2. Step 2: Convert to fraction form
    221.58/329.72 = 221.22/x
  3. Step 3: Cross multiply
    221.58x = 329.72 × 221.22
  4. Step 4: Simplify right side
    221.58x = 72,939.55
  5. Step 5: Solve for x
    x = 72,939.55/221.58
  6. Step 6: Final answer
    x = 329.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.