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Finding the Fourth Proportional to 255.28, 382.86 and 110.86

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Solution

The fourth proportional to 255.28, 382.86 and 110.86 is: 166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.28 : 382.86 = 110.86 : x
  2. Step 2: Convert to fraction form
    255.28/382.86 = 110.86/x
  3. Step 3: Cross multiply
    255.28x = 382.86 × 110.86
  4. Step 4: Simplify right side
    255.28x = 42,443.86
  5. Step 5: Solve for x
    x = 42,443.86/255.28
  6. Step 6: Final answer
    x = 166.26

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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.