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Finding the Fourth Proportional to 301.47, 413.68 and 273.75

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Solution

The fourth proportional to 301.47, 413.68 and 273.75 is: 375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.47 : 413.68 = 273.75 : x
  2. Step 2: Convert to fraction form
    301.47/413.68 = 273.75/x
  3. Step 3: Cross multiply
    301.47x = 413.68 × 273.75
  4. Step 4: Simplify right side
    301.47x = 113,244.90
  5. Step 5: Solve for x
    x = 113,244.90/301.47
  6. Step 6: Final answer
    x = 375.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.