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Finding the Fourth Proportional to 300.24, 449.30 and 209

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Solution

The fourth proportional to 300.24, 449.30 and 209 is: 312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 449.30 = 209 : x
  2. Step 2: Convert to fraction form
    300.24/449.30 = 209/x
  3. Step 3: Cross multiply
    300.24x = 449.30 × 209
  4. Step 4: Simplify right side
    300.24x = 93,903.70
  5. Step 5: Solve for x
    x = 93,903.70/300.24
  6. Step 6: Final answer
    x = 312.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.