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Finding the Fourth Proportional to 255.94, 352.74 and 193.62

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Solution

The fourth proportional to 255.94, 352.74 and 193.62 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 352.74 = 193.62 : x
  2. Step 2: Convert to fraction form
    255.94/352.74 = 193.62/x
  3. Step 3: Cross multiply
    255.94x = 352.74 × 193.62
  4. Step 4: Simplify right side
    255.94x = 68,297.52
  5. Step 5: Solve for x
    x = 68,297.52/255.94
  6. Step 6: Final answer
    x = 266.85

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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.