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Finding the Fourth Proportional to 274.28, 413.05 and 238.64

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Solution

The fourth proportional to 274.28, 413.05 and 238.64 is: 359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.28 : 413.05 = 238.64 : x
  2. Step 2: Convert to fraction form
    274.28/413.05 = 238.64/x
  3. Step 3: Cross multiply
    274.28x = 413.05 × 238.64
  4. Step 4: Simplify right side
    274.28x = 98,569.06
  5. Step 5: Solve for x
    x = 98,569.06/274.28
  6. Step 6: Final answer
    x = 359.37

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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.