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Finding the Fourth Proportional to 300.69, 448.04 and 268.38

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Solution

The fourth proportional to 300.69, 448.04 and 268.38 is: 399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.69 : 448.04 = 268.38 : x
  2. Step 2: Convert to fraction form
    300.69/448.04 = 268.38/x
  3. Step 3: Cross multiply
    300.69x = 448.04 × 268.38
  4. Step 4: Simplify right side
    300.69x = 120,244.98
  5. Step 5: Solve for x
    x = 120,244.98/300.69
  6. Step 6: Final answer
    x = 399.90

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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.