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Finding the Fourth Proportional to 274.44, 413.58 and 234.39

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Solution

The fourth proportional to 274.44, 413.58 and 234.39 is: 353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.44 : 413.58 = 234.39 : x
  2. Step 2: Convert to fraction form
    274.44/413.58 = 234.39/x
  3. Step 3: Cross multiply
    274.44x = 413.58 × 234.39
  4. Step 4: Simplify right side
    274.44x = 96,939.02
  5. Step 5: Solve for x
    x = 96,939.02/274.44
  6. Step 6: Final answer
    x = 353.22

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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.