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Finding the Fourth Proportional to 220.42, 330.72 and 83.44

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Solution

The fourth proportional to 220.42, 330.72 and 83.44 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.42 : 330.72 = 83.44 : x
  2. Step 2: Convert to fraction form
    220.42/330.72 = 83.44/x
  3. Step 3: Cross multiply
    220.42x = 330.72 × 83.44
  4. Step 4: Simplify right side
    220.42x = 27,595.28
  5. Step 5: Solve for x
    x = 27,595.28/220.42
  6. Step 6: Final answer
    x = 125.19

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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.