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Finding the Fourth Proportional to 298.64, 445.11 and 298.19

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Solution

The fourth proportional to 298.64, 445.11 and 298.19 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 445.11 = 298.19 : x
  2. Step 2: Convert to fraction form
    298.64/445.11 = 298.19/x
  3. Step 3: Cross multiply
    298.64x = 445.11 × 298.19
  4. Step 4: Simplify right side
    298.64x = 132,723.63
  5. Step 5: Solve for x
    x = 132,723.63/298.64
  6. Step 6: Final answer
    x = 444.43

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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.