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Finding the Fourth Proportional to 298.89, 412.43 and 200.68

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Solution

The fourth proportional to 298.89, 412.43 and 200.68 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.89 : 412.43 = 200.68 : x
  2. Step 2: Convert to fraction form
    298.89/412.43 = 200.68/x
  3. Step 3: Cross multiply
    298.89x = 412.43 × 200.68
  4. Step 4: Simplify right side
    298.89x = 82,764.42
  5. Step 5: Solve for x
    x = 82,764.42/298.89
  6. Step 6: Final answer
    x = 276.91

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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.