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Finding the Fourth Proportional to 300.26, 413.65 and 255.89

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Solution

The fourth proportional to 300.26, 413.65 and 255.89 is: 352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.26 : 413.65 = 255.89 : x
  2. Step 2: Convert to fraction form
    300.26/413.65 = 255.89/x
  3. Step 3: Cross multiply
    300.26x = 413.65 × 255.89
  4. Step 4: Simplify right side
    300.26x = 105,849.20
  5. Step 5: Solve for x
    x = 105,849.20/300.26
  6. Step 6: Final answer
    x = 352.53

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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.