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Finding the Fourth Proportional to 299.27, 445.75 and 280.29

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Solution

The fourth proportional to 299.27, 445.75 and 280.29 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.27 : 445.75 = 280.29 : x
  2. Step 2: Convert to fraction form
    299.27/445.75 = 280.29/x
  3. Step 3: Cross multiply
    299.27x = 445.75 × 280.29
  4. Step 4: Simplify right side
    299.27x = 124,938.05
  5. Step 5: Solve for x
    x = 124,938.05/299.27
  6. Step 6: Final answer
    x = 417.48

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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.