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Finding the Fourth Proportional to 329.72, 494.70 and 220.48

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Solution

The fourth proportional to 329.72, 494.70 and 220.48 is: 330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.72 : 494.70 = 220.48 : x
  2. Step 2: Convert to fraction form
    329.72/494.70 = 220.48/x
  3. Step 3: Cross multiply
    329.72x = 494.70 × 220.48
  4. Step 4: Simplify right side
    329.72x = 109,071.46
  5. Step 5: Solve for x
    x = 109,071.46/329.72
  6. Step 6: Final answer
    x = 330.80

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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.