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Finding the Fourth Proportional to 299.26, 412.81 and 278.41

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Solution

The fourth proportional to 299.26, 412.81 and 278.41 is: 384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 412.81 = 278.41 : x
  2. Step 2: Convert to fraction form
    299.26/412.81 = 278.41/x
  3. Step 3: Cross multiply
    299.26x = 412.81 × 278.41
  4. Step 4: Simplify right side
    299.26x = 114,930.43
  5. Step 5: Solve for x
    x = 114,930.43/299.26
  6. Step 6: Final answer
    x = 384.05

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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.