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Finding the Fourth Proportional to 301.69, 416.09 and 196.81

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Solution

The fourth proportional to 301.69, 416.09 and 196.81 is: 271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.69 : 416.09 = 196.81 : x
  2. Step 2: Convert to fraction form
    301.69/416.09 = 196.81/x
  3. Step 3: Cross multiply
    301.69x = 416.09 × 196.81
  4. Step 4: Simplify right side
    301.69x = 81,890.67
  5. Step 5: Solve for x
    x = 81,890.67/301.69
  6. Step 6: Final answer
    x = 271.44

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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.