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Finding the Fourth Proportional to 220.09, 328.41 and 197

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Solution

The fourth proportional to 220.09, 328.41 and 197 is: 293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.09 : 328.41 = 197 : x
  2. Step 2: Convert to fraction form
    220.09/328.41 = 197/x
  3. Step 3: Cross multiply
    220.09x = 328.41 × 197
  4. Step 4: Simplify right side
    220.09x = 64,696.77
  5. Step 5: Solve for x
    x = 64,696.77/220.09
  6. Step 6: Final answer
    x = 293.96

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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.