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Finding the Fourth Proportional to 299.95, 414.09 and 270.04

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Solution

The fourth proportional to 299.95, 414.09 and 270.04 is: 372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.95 : 414.09 = 270.04 : x
  2. Step 2: Convert to fraction form
    299.95/414.09 = 270.04/x
  3. Step 3: Cross multiply
    299.95x = 414.09 × 270.04
  4. Step 4: Simplify right side
    299.95x = 111,820.86
  5. Step 5: Solve for x
    x = 111,820.86/299.95
  6. Step 6: Final answer
    x = 372.80

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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.