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Finding the Fourth Proportional to 220.97, 329.70 and 200.45

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Solution

The fourth proportional to 220.97, 329.70 and 200.45 is: 299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.97 : 329.70 = 200.45 : x
  2. Step 2: Convert to fraction form
    220.97/329.70 = 200.45/x
  3. Step 3: Cross multiply
    220.97x = 329.70 × 200.45
  4. Step 4: Simplify right side
    220.97x = 66,088.37
  5. Step 5: Solve for x
    x = 66,088.37/220.97
  6. Step 6: Final answer
    x = 299.08

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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.