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Finding the Fourth Proportional to 298.98, 412.91 and 205.97

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Solution

The fourth proportional to 298.98, 412.91 and 205.97 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.91 = 205.97 : x
  2. Step 2: Convert to fraction form
    298.98/412.91 = 205.97/x
  3. Step 3: Cross multiply
    298.98x = 412.91 × 205.97
  4. Step 4: Simplify right side
    298.98x = 85,043.98
  5. Step 5: Solve for x
    x = 85,043.98/298.98
  6. Step 6: Final answer
    x = 284.45

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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.