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Finding the Fourth Proportional to 245.95, 339.20 and 196.81

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Solution

The fourth proportional to 245.95, 339.20 and 196.81 is: 271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.95 : 339.20 = 196.81 : x
  2. Step 2: Convert to fraction form
    245.95/339.20 = 196.81/x
  3. Step 3: Cross multiply
    245.95x = 339.20 × 196.81
  4. Step 4: Simplify right side
    245.95x = 66,756.97
  5. Step 5: Solve for x
    x = 66,756.97/245.95
  6. Step 6: Final answer
    x = 271.42

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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.