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Finding the Fourth Proportional to 255.07, 382.33 and 110.76

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Solution

The fourth proportional to 255.07, 382.33 and 110.76 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.07 : 382.33 = 110.76 : x
  2. Step 2: Convert to fraction form
    255.07/382.33 = 110.76/x
  3. Step 3: Cross multiply
    255.07x = 382.33 × 110.76
  4. Step 4: Simplify right side
    255.07x = 42,346.87
  5. Step 5: Solve for x
    x = 42,346.87/255.07
  6. Step 6: Final answer
    x = 166.02

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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.