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Finding the Fourth Proportional to 255.84, 351.17 and 227.59

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Solution

The fourth proportional to 255.84, 351.17 and 227.59 is: 312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 351.17 = 227.59 : x
  2. Step 2: Convert to fraction form
    255.84/351.17 = 227.59/x
  3. Step 3: Cross multiply
    255.84x = 351.17 × 227.59
  4. Step 4: Simplify right side
    255.84x = 79,922.78
  5. Step 5: Solve for x
    x = 79,922.78/255.84
  6. Step 6: Final answer
    x = 312.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.