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Finding the Fourth Proportional to 299.09, 410.32 and 280.46

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Solution

The fourth proportional to 299.09, 410.32 and 280.46 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 410.32 = 280.46 : x
  2. Step 2: Convert to fraction form
    299.09/410.32 = 280.46/x
  3. Step 3: Cross multiply
    299.09x = 410.32 × 280.46
  4. Step 4: Simplify right side
    299.09x = 115,078.15
  5. Step 5: Solve for x
    x = 115,078.15/299.09
  6. Step 6: Final answer
    x = 384.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.