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Finding the Fourth Proportional to 274.63, 413.80 and 245.16

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Solution

The fourth proportional to 274.63, 413.80 and 245.16 is: 369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.63 : 413.80 = 245.16 : x
  2. Step 2: Convert to fraction form
    274.63/413.80 = 245.16/x
  3. Step 3: Cross multiply
    274.63x = 413.80 × 245.16
  4. Step 4: Simplify right side
    274.63x = 101,447.21
  5. Step 5: Solve for x
    x = 101,447.21/274.63
  6. Step 6: Final answer
    x = 369.40

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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.