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Finding the Fourth Proportional to 255.89, 385.22 and 198.45

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Solution

The fourth proportional to 255.89, 385.22 and 198.45 is: 298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.89 : 385.22 = 198.45 : x
  2. Step 2: Convert to fraction form
    255.89/385.22 = 198.45/x
  3. Step 3: Cross multiply
    255.89x = 385.22 × 198.45
  4. Step 4: Simplify right side
    255.89x = 76,447.41
  5. Step 5: Solve for x
    x = 76,447.41/255.89
  6. Step 6: Final answer
    x = 298.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.