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Finding the Fourth Proportional to 219.42, 329.17 and 73.18

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Solution

The fourth proportional to 219.42, 329.17 and 73.18 is: 109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 329.17 = 73.18 : x
  2. Step 2: Convert to fraction form
    219.42/329.17 = 73.18/x
  3. Step 3: Cross multiply
    219.42x = 329.17 × 73.18
  4. Step 4: Simplify right side
    219.42x = 24,087.01
  5. Step 5: Solve for x
    x = 24,087.01/219.42
  6. Step 6: Final answer
    x = 109.78

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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.