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Finding the Fourth Proportional to 304.44, 419.89 and 280.14

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Solution

The fourth proportional to 304.44, 419.89 and 280.14 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.44 : 419.89 = 280.14 : x
  2. Step 2: Convert to fraction form
    304.44/419.89 = 280.14/x
  3. Step 3: Cross multiply
    304.44x = 419.89 × 280.14
  4. Step 4: Simplify right side
    304.44x = 117,627.98
  5. Step 5: Solve for x
    x = 117,627.98/304.44
  6. Step 6: Final answer
    x = 386.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.