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Finding the Fourth Proportional to 254.48, 380.90 and 132.57

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Solution

The fourth proportional to 254.48, 380.90 and 132.57 is: 198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.48 : 380.90 = 132.57 : x
  2. Step 2: Convert to fraction form
    254.48/380.90 = 132.57/x
  3. Step 3: Cross multiply
    254.48x = 380.90 × 132.57
  4. Step 4: Simplify right side
    254.48x = 50,496.24
  5. Step 5: Solve for x
    x = 50,496.24/254.48
  6. Step 6: Final answer
    x = 198.43

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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.