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Finding the Fourth Proportional to 296.16, 408.74 and 213.54

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Solution

The fourth proportional to 296.16, 408.74 and 213.54 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 408.74 = 213.54 : x
  2. Step 2: Convert to fraction form
    296.16/408.74 = 213.54/x
  3. Step 3: Cross multiply
    296.16x = 408.74 × 213.54
  4. Step 4: Simplify right side
    296.16x = 87,282.34
  5. Step 5: Solve for x
    x = 87,282.34/296.16
  6. Step 6: Final answer
    x = 294.71

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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.