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Finding the Fourth Proportional to 298.71, 412.41 and 205.42

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Solution

The fourth proportional to 298.71, 412.41 and 205.42 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.71 : 412.41 = 205.42 : x
  2. Step 2: Convert to fraction form
    298.71/412.41 = 205.42/x
  3. Step 3: Cross multiply
    298.71x = 412.41 × 205.42
  4. Step 4: Simplify right side
    298.71x = 84,716.24
  5. Step 5: Solve for x
    x = 84,716.24/298.71
  6. Step 6: Final answer
    x = 283.61

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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.