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Finding the Fourth Proportional to 298.55, 411.68 and 219.76

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Solution

The fourth proportional to 298.55, 411.68 and 219.76 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.55 : 411.68 = 219.76 : x
  2. Step 2: Convert to fraction form
    298.55/411.68 = 219.76/x
  3. Step 3: Cross multiply
    298.55x = 411.68 × 219.76
  4. Step 4: Simplify right side
    298.55x = 90,470.32
  5. Step 5: Solve for x
    x = 90,470.32/298.55
  6. Step 6: Final answer
    x = 303.03

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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.