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Finding the Fourth Proportional to 300.87, 449.14 and 278.33

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Solution

The fourth proportional to 300.87, 449.14 and 278.33 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.87 : 449.14 = 278.33 : x
  2. Step 2: Convert to fraction form
    300.87/449.14 = 278.33/x
  3. Step 3: Cross multiply
    300.87x = 449.14 × 278.33
  4. Step 4: Simplify right side
    300.87x = 125,006.19
  5. Step 5: Solve for x
    x = 125,006.19/300.87
  6. Step 6: Final answer
    x = 415.48

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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.