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Finding the Fourth Proportional to 296.56, 408.96 and 217.84

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Solution

The fourth proportional to 296.56, 408.96 and 217.84 is: 300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.56 : 408.96 = 217.84 : x
  2. Step 2: Convert to fraction form
    296.56/408.96 = 217.84/x
  3. Step 3: Cross multiply
    296.56x = 408.96 × 217.84
  4. Step 4: Simplify right side
    296.56x = 89,087.85
  5. Step 5: Solve for x
    x = 89,087.85/296.56
  6. Step 6: Final answer
    x = 300.40

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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.