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Finding the Fourth Proportional to 296.82, 408.94 and 221.81

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Solution

The fourth proportional to 296.82, 408.94 and 221.81 is: 305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.82 : 408.94 = 221.81 : x
  2. Step 2: Convert to fraction form
    296.82/408.94 = 221.81/x
  3. Step 3: Cross multiply
    296.82x = 408.94 × 221.81
  4. Step 4: Simplify right side
    296.82x = 90,704.38
  5. Step 5: Solve for x
    x = 90,704.38/296.82
  6. Step 6: Final answer
    x = 305.59

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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.