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Finding the Fourth Proportional to 254, 380.81 and 107.74

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Solution

The fourth proportional to 254, 380.81 and 107.74 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 380.81 = 107.74 : x
  2. Step 2: Convert to fraction form
    254/380.81 = 107.74/x
  3. Step 3: Cross multiply
    254x = 380.81 × 107.74
  4. Step 4: Simplify right side
    254x = 41,028.47
  5. Step 5: Solve for x
    x = 41,028.47/254
  6. Step 6: Final answer
    x = 161.53

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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.