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Finding the Fourth Proportional to 328.46, 494.44 and 298.70

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Solution

The fourth proportional to 328.46, 494.44 and 298.70 is: 449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.46 : 494.44 = 298.70 : x
  2. Step 2: Convert to fraction form
    328.46/494.44 = 298.70/x
  3. Step 3: Cross multiply
    328.46x = 494.44 × 298.70
  4. Step 4: Simplify right side
    328.46x = 147,687.73
  5. Step 5: Solve for x
    x = 147,687.73/328.46
  6. Step 6: Final answer
    x = 449.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.