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Finding the Fourth Proportional to 413.49, 619.60 and 276.03

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Solution

The fourth proportional to 413.49, 619.60 and 276.03 is: 413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.49 : 619.60 = 276.03 : x
  2. Step 2: Convert to fraction form
    413.49/619.60 = 276.03/x
  3. Step 3: Cross multiply
    413.49x = 619.60 × 276.03
  4. Step 4: Simplify right side
    413.49x = 171,028.19
  5. Step 5: Solve for x
    x = 171,028.19/413.49
  6. Step 6: Final answer
    x = 413.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.