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Finding the Fourth Proportional to 298.71, 412.79 and 224.90

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Solution

The fourth proportional to 298.71, 412.79 and 224.90 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.71 : 412.79 = 224.90 : x
  2. Step 2: Convert to fraction form
    298.71/412.79 = 224.90/x
  3. Step 3: Cross multiply
    298.71x = 412.79 × 224.90
  4. Step 4: Simplify right side
    298.71x = 92,833.28
  5. Step 5: Solve for x
    x = 92,833.28/298.71
  6. Step 6: Final answer
    x = 310.78

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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.