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Finding the Fourth Proportional to 299.54, 451.04 and 274.34

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Solution

The fourth proportional to 299.54, 451.04 and 274.34 is: 413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 451.04 = 274.34 : x
  2. Step 2: Convert to fraction form
    299.54/451.04 = 274.34/x
  3. Step 3: Cross multiply
    299.54x = 451.04 × 274.34
  4. Step 4: Simplify right side
    299.54x = 123,738.31
  5. Step 5: Solve for x
    x = 123,738.31/299.54
  6. Step 6: Final answer
    x = 413.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.