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Finding the Fourth Proportional to 296.17, 408.43 and 213.68

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Solution

The fourth proportional to 296.17, 408.43 and 213.68 is: 294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.17 : 408.43 = 213.68 : x
  2. Step 2: Convert to fraction form
    296.17/408.43 = 213.68/x
  3. Step 3: Cross multiply
    296.17x = 408.43 × 213.68
  4. Step 4: Simplify right side
    296.17x = 87,273.32
  5. Step 5: Solve for x
    x = 87,273.32/296.17
  6. Step 6: Final answer
    x = 294.67

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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.