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Finding the Fourth Proportional to 220.59, 329.18 and 197.53

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Solution

The fourth proportional to 220.59, 329.18 and 197.53 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.59 : 329.18 = 197.53 : x
  2. Step 2: Convert to fraction form
    220.59/329.18 = 197.53/x
  3. Step 3: Cross multiply
    220.59x = 329.18 × 197.53
  4. Step 4: Simplify right side
    220.59x = 65,022.93
  5. Step 5: Solve for x
    x = 65,022.93/220.59
  6. Step 6: Final answer
    x = 294.77

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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.