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Finding the Fourth Proportional to 413.12, 619.28 and 169.85

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Solution

The fourth proportional to 413.12, 619.28 and 169.85 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 619.28 = 169.85 : x
  2. Step 2: Convert to fraction form
    413.12/619.28 = 169.85/x
  3. Step 3: Cross multiply
    413.12x = 619.28 × 169.85
  4. Step 4: Simplify right side
    413.12x = 105,186.04
  5. Step 5: Solve for x
    x = 105,186.04/413.12
  6. Step 6: Final answer
    x = 254.61

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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.