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Finding the Fourth Proportional to 300.53, 447.99 and 297.29

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Solution

The fourth proportional to 300.53, 447.99 and 297.29 is: 443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.53 : 447.99 = 297.29 : x
  2. Step 2: Convert to fraction form
    300.53/447.99 = 297.29/x
  3. Step 3: Cross multiply
    300.53x = 447.99 × 297.29
  4. Step 4: Simplify right side
    300.53x = 133,184.62
  5. Step 5: Solve for x
    x = 133,184.62/300.53
  6. Step 6: Final answer
    x = 443.16

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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.