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Finding the Fourth Proportional to 300.28, 446.78 and 297.94

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Solution

The fourth proportional to 300.28, 446.78 and 297.94 is: 443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 446.78 = 297.94 : x
  2. Step 2: Convert to fraction form
    300.28/446.78 = 297.94/x
  3. Step 3: Cross multiply
    300.28x = 446.78 × 297.94
  4. Step 4: Simplify right side
    300.28x = 133,113.63
  5. Step 5: Solve for x
    x = 133,113.63/300.28
  6. Step 6: Final answer
    x = 443.30

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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.