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Finding the Fourth Proportional to 254.68, 382.24 and 132.88

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Solution

The fourth proportional to 254.68, 382.24 and 132.88 is: 199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.68 : 382.24 = 132.88 : x
  2. Step 2: Convert to fraction form
    254.68/382.24 = 132.88/x
  3. Step 3: Cross multiply
    254.68x = 382.24 × 132.88
  4. Step 4: Simplify right side
    254.68x = 50,792.05
  5. Step 5: Solve for x
    x = 50,792.05/254.68
  6. Step 6: Final answer
    x = 199.43

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Why These Related Problems?

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