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Finding the Fourth Proportional to 220.53, 328.11 and 219.81

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Solution

The fourth proportional to 220.53, 328.11 and 219.81 is: 327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.53 : 328.11 = 219.81 : x
  2. Step 2: Convert to fraction form
    220.53/328.11 = 219.81/x
  3. Step 3: Cross multiply
    220.53x = 328.11 × 219.81
  4. Step 4: Simplify right side
    220.53x = 72,121.86
  5. Step 5: Solve for x
    x = 72,121.86/220.53
  6. Step 6: Final answer
    x = 327.04

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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.