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Finding the Fourth Proportional to 413.20, 570.32 and 273.25

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Solution

The fourth proportional to 413.20, 570.32 and 273.25 is: 377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 570.32 = 273.25 : x
  2. Step 2: Convert to fraction form
    413.20/570.32 = 273.25/x
  3. Step 3: Cross multiply
    413.20x = 570.32 × 273.25
  4. Step 4: Simplify right side
    413.20x = 155,839.94
  5. Step 5: Solve for x
    x = 155,839.94/413.20
  6. Step 6: Final answer
    x = 377.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.