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Finding the Fourth Proportional to 480.50, 721.20 and 220.64

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Solution

The fourth proportional to 480.50, 721.20 and 220.64 is: 331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.50 : 721.20 = 220.64 : x
  2. Step 2: Convert to fraction form
    480.50/721.20 = 220.64/x
  3. Step 3: Cross multiply
    480.50x = 721.20 × 220.64
  4. Step 4: Simplify right side
    480.50x = 159,125.57
  5. Step 5: Solve for x
    x = 159,125.57/480.50
  6. Step 6: Final answer
    x = 331.17

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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.