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Finding the Fourth Proportional to 254.95, 382.21 and 110.56

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Solution

The fourth proportional to 254.95, 382.21 and 110.56 is: 165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.95 : 382.21 = 110.56 : x
  2. Step 2: Convert to fraction form
    254.95/382.21 = 110.56/x
  3. Step 3: Cross multiply
    254.95x = 382.21 × 110.56
  4. Step 4: Simplify right side
    254.95x = 42,257.14
  5. Step 5: Solve for x
    x = 42,257.14/254.95
  6. Step 6: Final answer
    x = 165.75

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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.