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Finding the Fourth Proportional to 255.43, 382.88 and 186.85

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Solution

The fourth proportional to 255.43, 382.88 and 186.85 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.43 : 382.88 = 186.85 : x
  2. Step 2: Convert to fraction form
    255.43/382.88 = 186.85/x
  3. Step 3: Cross multiply
    255.43x = 382.88 × 186.85
  4. Step 4: Simplify right side
    255.43x = 71,540.19
  5. Step 5: Solve for x
    x = 71,540.19/255.43
  6. Step 6: Final answer
    x = 280.08

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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.