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Finding the Fourth Proportional to 220.77, 329.24 and 204.57

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Solution

The fourth proportional to 220.77, 329.24 and 204.57 is: 305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.77 : 329.24 = 204.57 : x
  2. Step 2: Convert to fraction form
    220.77/329.24 = 204.57/x
  3. Step 3: Cross multiply
    220.77x = 329.24 × 204.57
  4. Step 4: Simplify right side
    220.77x = 67,353.14
  5. Step 5: Solve for x
    x = 67,353.14/220.77
  6. Step 6: Final answer
    x = 305.08

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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.