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Finding the Fourth Proportional to 213.92, 319.21 and 200.86

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Solution

The fourth proportional to 213.92, 319.21 and 200.86 is: 299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 319.21 = 200.86 : x
  2. Step 2: Convert to fraction form
    213.92/319.21 = 200.86/x
  3. Step 3: Cross multiply
    213.92x = 319.21 × 200.86
  4. Step 4: Simplify right side
    213.92x = 64,117.02
  5. Step 5: Solve for x
    x = 64,117.02/213.92
  6. Step 6: Final answer
    x = 299.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.