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Finding the Fourth Proportional to 252.53, 378.79 and 130.80

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Solution

The fourth proportional to 252.53, 378.79 and 130.80 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.53 : 378.79 = 130.80 : x
  2. Step 2: Convert to fraction form
    252.53/378.79 = 130.80/x
  3. Step 3: Cross multiply
    252.53x = 378.79 × 130.80
  4. Step 4: Simplify right side
    252.53x = 49,545.73
  5. Step 5: Solve for x
    x = 49,545.73/252.53
  6. Step 6: Final answer
    x = 196.20

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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.