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Finding the Fourth Proportional to 254.50, 381.78 and 110.14

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Solution

The fourth proportional to 254.50, 381.78 and 110.14 is: 165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 381.78 = 110.14 : x
  2. Step 2: Convert to fraction form
    254.50/381.78 = 110.14/x
  3. Step 3: Cross multiply
    254.50x = 381.78 × 110.14
  4. Step 4: Simplify right side
    254.50x = 42,049.25
  5. Step 5: Solve for x
    x = 42,049.25/254.50
  6. Step 6: Final answer
    x = 165.22

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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.