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Finding the Fourth Proportional to 274.45, 413.29 and 266.38

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Solution

The fourth proportional to 274.45, 413.29 and 266.38 is: 401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.45 : 413.29 = 266.38 : x
  2. Step 2: Convert to fraction form
    274.45/413.29 = 266.38/x
  3. Step 3: Cross multiply
    274.45x = 413.29 × 266.38
  4. Step 4: Simplify right side
    274.45x = 110,092.19
  5. Step 5: Solve for x
    x = 110,092.19/274.45
  6. Step 6: Final answer
    x = 401.14

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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.