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Finding the Fourth Proportional to 413.03, 569.80 and 273.21

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Solution

The fourth proportional to 413.03, 569.80 and 273.21 is: 376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.03 : 569.80 = 273.21 : x
  2. Step 2: Convert to fraction form
    413.03/569.80 = 273.21/x
  3. Step 3: Cross multiply
    413.03x = 569.80 × 273.21
  4. Step 4: Simplify right side
    413.03x = 155,673.26
  5. Step 5: Solve for x
    x = 155,673.26/413.03
  6. Step 6: Final answer
    x = 376.90

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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.