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Finding the Fourth Proportional to 413.62, 570.83 and 273.50

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Solution

The fourth proportional to 413.62, 570.83 and 273.50 is: 377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.62 : 570.83 = 273.50 : x
  2. Step 2: Convert to fraction form
    413.62/570.83 = 273.50/x
  3. Step 3: Cross multiply
    413.62x = 570.83 × 273.50
  4. Step 4: Simplify right side
    413.62x = 156,120.95
  5. Step 5: Solve for x
    x = 156,120.95/413.62
  6. Step 6: Final answer
    x = 377.45

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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.