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Finding the Fourth Proportional to 274.53, 413.19 and 206.40

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Solution

The fourth proportional to 274.53, 413.19 and 206.40 is: 310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.53 : 413.19 = 206.40 : x
  2. Step 2: Convert to fraction form
    274.53/413.19 = 206.40/x
  3. Step 3: Cross multiply
    274.53x = 413.19 × 206.40
  4. Step 4: Simplify right side
    274.53x = 85,282.42
  5. Step 5: Solve for x
    x = 85,282.42/274.53
  6. Step 6: Final answer
    x = 310.65

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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.