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Finding the Fourth Proportional to 298.62, 411.82 and 205.47

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Solution

The fourth proportional to 298.62, 411.82 and 205.47 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.62 : 411.82 = 205.47 : x
  2. Step 2: Convert to fraction form
    298.62/411.82 = 205.47/x
  3. Step 3: Cross multiply
    298.62x = 411.82 × 205.47
  4. Step 4: Simplify right side
    298.62x = 84,616.14
  5. Step 5: Solve for x
    x = 84,616.14/298.62
  6. Step 6: Final answer
    x = 283.36

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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.