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Finding the Fourth Proportional to 300.03, 413.19 and 293.67

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Solution

The fourth proportional to 300.03, 413.19 and 293.67 is: 404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.03 : 413.19 = 293.67 : x
  2. Step 2: Convert to fraction form
    300.03/413.19 = 293.67/x
  3. Step 3: Cross multiply
    300.03x = 413.19 × 293.67
  4. Step 4: Simplify right side
    300.03x = 121,341.51
  5. Step 5: Solve for x
    x = 121,341.51/300.03
  6. Step 6: Final answer
    x = 404.43

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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.