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Finding the Fourth Proportional to 300.15, 447.59 and 297.41

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Solution

The fourth proportional to 300.15, 447.59 and 297.41 is: 443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.15 : 447.59 = 297.41 : x
  2. Step 2: Convert to fraction form
    300.15/447.59 = 297.41/x
  3. Step 3: Cross multiply
    300.15x = 447.59 × 297.41
  4. Step 4: Simplify right side
    300.15x = 133,116.25
  5. Step 5: Solve for x
    x = 133,116.25/300.15
  6. Step 6: Final answer
    x = 443.50

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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.