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Finding the Fourth Proportional to 298.71, 447.17 and 195.80

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Solution

The fourth proportional to 298.71, 447.17 and 195.80 is: 293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.71 : 447.17 = 195.80 : x
  2. Step 2: Convert to fraction form
    298.71/447.17 = 195.80/x
  3. Step 3: Cross multiply
    298.71x = 447.17 × 195.80
  4. Step 4: Simplify right side
    298.71x = 87,552.67
  5. Step 5: Solve for x
    x = 87,552.67/298.71
  6. Step 6: Final answer
    x = 293.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.