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Finding the Fourth Proportional to 270.44, 403.99 and 229.43

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Solution

The fourth proportional to 270.44, 403.99 and 229.43 is: 342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.44 : 403.99 = 229.43 : x
  2. Step 2: Convert to fraction form
    270.44/403.99 = 229.43/x
  3. Step 3: Cross multiply
    270.44x = 403.99 × 229.43
  4. Step 4: Simplify right side
    270.44x = 92,687.86
  5. Step 5: Solve for x
    x = 92,687.86/270.44
  6. Step 6: Final answer
    x = 342.73

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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.