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Finding the Fourth Proportional to 298.20, 444.68 and 274.56

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Solution

The fourth proportional to 298.20, 444.68 and 274.56 is: 409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.20 : 444.68 = 274.56 : x
  2. Step 2: Convert to fraction form
    298.20/444.68 = 274.56/x
  3. Step 3: Cross multiply
    298.20x = 444.68 × 274.56
  4. Step 4: Simplify right side
    298.20x = 122,089.97
  5. Step 5: Solve for x
    x = 122,089.97/298.20
  6. Step 6: Final answer
    x = 409.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.