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Finding the Fourth Proportional to 213.61, 319.80 and 196.60

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Solution

The fourth proportional to 213.61, 319.80 and 196.60 is: 294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.61 : 319.80 = 196.60 : x
  2. Step 2: Convert to fraction form
    213.61/319.80 = 196.60/x
  3. Step 3: Cross multiply
    213.61x = 319.80 × 196.60
  4. Step 4: Simplify right side
    213.61x = 62,872.68
  5. Step 5: Solve for x
    x = 62,872.68/213.61
  6. Step 6: Final answer
    x = 294.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.