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Finding the Fourth Proportional to 413.45, 619.36 and 310.85

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Solution

The fourth proportional to 413.45, 619.36 and 310.85 is: 465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.45 : 619.36 = 310.85 : x
  2. Step 2: Convert to fraction form
    413.45/619.36 = 310.85/x
  3. Step 3: Cross multiply
    413.45x = 619.36 × 310.85
  4. Step 4: Simplify right side
    413.45x = 192,528.06
  5. Step 5: Solve for x
    x = 192,528.06/413.45
  6. Step 6: Final answer
    x = 465.66

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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.