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Finding the Fourth Proportional to 255.48, 355.05 and 252.84

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Solution

The fourth proportional to 255.48, 355.05 and 252.84 is: 351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.48 : 355.05 = 252.84 : x
  2. Step 2: Convert to fraction form
    255.48/355.05 = 252.84/x
  3. Step 3: Cross multiply
    255.48x = 355.05 × 252.84
  4. Step 4: Simplify right side
    255.48x = 89,770.84
  5. Step 5: Solve for x
    x = 89,770.84/255.48
  6. Step 6: Final answer
    x = 351.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.