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Finding the Fourth Proportional to 413.52, 570.12 and 273.60

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Solution

The fourth proportional to 413.52, 570.12 and 273.60 is: 377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.52 : 570.12 = 273.60 : x
  2. Step 2: Convert to fraction form
    413.52/570.12 = 273.60/x
  3. Step 3: Cross multiply
    413.52x = 570.12 × 273.60
  4. Step 4: Simplify right side
    413.52x = 155,984.83
  5. Step 5: Solve for x
    x = 155,984.83/413.52
  6. Step 6: Final answer
    x = 377.21

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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.