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Finding the Fourth Proportional to 413.10, 569.83 and 273.22

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Solution

The fourth proportional to 413.10, 569.83 and 273.22 is: 376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 569.83 = 273.22 : x
  2. Step 2: Convert to fraction form
    413.10/569.83 = 273.22/x
  3. Step 3: Cross multiply
    413.10x = 569.83 × 273.22
  4. Step 4: Simplify right side
    413.10x = 155,688.95
  5. Step 5: Solve for x
    x = 155,688.95/413.10
  6. Step 6: Final answer
    x = 376.88

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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.