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Finding the Fourth Proportional to 304.26, 419.33 and 300.00

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Solution

The fourth proportional to 304.26, 419.33 and 300.00 is: 413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.26 : 419.33 = 300.00 : x
  2. Step 2: Convert to fraction form
    304.26/419.33 = 300.00/x
  3. Step 3: Cross multiply
    304.26x = 419.33 × 300.00
  4. Step 4: Simplify right side
    304.26x = 125,799.63
  5. Step 5: Solve for x
    x = 125,799.63/304.26
  6. Step 6: Final answer
    x = 413.47

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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.