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Finding the Fourth Proportional to 298.59, 411.82 and 205.21

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Solution

The fourth proportional to 298.59, 411.82 and 205.21 is: 283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 411.82 = 205.21 : x
  2. Step 2: Convert to fraction form
    298.59/411.82 = 205.21/x
  3. Step 3: Cross multiply
    298.59x = 411.82 × 205.21
  4. Step 4: Simplify right side
    298.59x = 84,509.58
  5. Step 5: Solve for x
    x = 84,509.58/298.59
  6. Step 6: Final answer
    x = 283.03

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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.