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Finding the Fourth Proportional to 255.96, 352.08 and 255.29

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Solution

The fourth proportional to 255.96, 352.08 and 255.29 is: 351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 352.08 = 255.29 : x
  2. Step 2: Convert to fraction form
    255.96/352.08 = 255.29/x
  3. Step 3: Cross multiply
    255.96x = 352.08 × 255.29
  4. Step 4: Simplify right side
    255.96x = 89,880.74
  5. Step 5: Solve for x
    x = 89,880.74/255.96
  6. Step 6: Final answer
    x = 351.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.