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Finding the Fourth Proportional to 298.85, 411.86 and 219.99

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Solution

The fourth proportional to 298.85, 411.86 and 219.99 is: 303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.85 : 411.86 = 219.99 : x
  2. Step 2: Convert to fraction form
    298.85/411.86 = 219.99/x
  3. Step 3: Cross multiply
    298.85x = 411.86 × 219.99
  4. Step 4: Simplify right side
    298.85x = 90,604.09
  5. Step 5: Solve for x
    x = 90,604.09/298.85
  6. Step 6: Final answer
    x = 303.18

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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.