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Finding the Fourth Proportional to 298.43, 411.68 and 203.82

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Solution

The fourth proportional to 298.43, 411.68 and 203.82 is: 281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.43 : 411.68 = 203.82 : x
  2. Step 2: Convert to fraction form
    298.43/411.68 = 203.82/x
  3. Step 3: Cross multiply
    298.43x = 411.68 × 203.82
  4. Step 4: Simplify right side
    298.43x = 83,907.60
  5. Step 5: Solve for x
    x = 83,907.60/298.43
  6. Step 6: Final answer
    x = 281.17

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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.