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Finding the Fourth Proportional to 255.60, 382.71 and 133.61

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Solution

The fourth proportional to 255.60, 382.71 and 133.61 is: 200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 382.71 = 133.61 : x
  2. Step 2: Convert to fraction form
    255.60/382.71 = 133.61/x
  3. Step 3: Cross multiply
    255.60x = 382.71 × 133.61
  4. Step 4: Simplify right side
    255.60x = 51,131.97
  5. Step 5: Solve for x
    x = 51,131.97/255.60
  6. Step 6: Final answer
    x = 200.05

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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.