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Finding the Fourth Proportional to 255.89, 352.78 and 196.91

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Solution

The fourth proportional to 255.89, 352.78 and 196.91 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.89 : 352.78 = 196.91 : x
  2. Step 2: Convert to fraction form
    255.89/352.78 = 196.91/x
  3. Step 3: Cross multiply
    255.89x = 352.78 × 196.91
  4. Step 4: Simplify right side
    255.89x = 69,465.91
  5. Step 5: Solve for x
    x = 69,465.91/255.89
  6. Step 6: Final answer
    x = 271.47

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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.