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Finding the Fourth Proportional to 298.07, 411.49 and 198.65

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Solution

The fourth proportional to 298.07, 411.49 and 198.65 is: 274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.07 : 411.49 = 198.65 : x
  2. Step 2: Convert to fraction form
    298.07/411.49 = 198.65/x
  3. Step 3: Cross multiply
    298.07x = 411.49 × 198.65
  4. Step 4: Simplify right side
    298.07x = 81,743.02
  5. Step 5: Solve for x
    x = 81,743.02/298.07
  6. Step 6: Final answer
    x = 274.24

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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.