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Finding the Fourth Proportional to 421.69, 579.97 and 338.66

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Solution

The fourth proportional to 421.69, 579.97 and 338.66 is: 465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 579.97 = 338.66 : x
  2. Step 2: Convert to fraction form
    421.69/579.97 = 338.66/x
  3. Step 3: Cross multiply
    421.69x = 579.97 × 338.66
  4. Step 4: Simplify right side
    421.69x = 196,413.24
  5. Step 5: Solve for x
    x = 196,413.24/421.69
  6. Step 6: Final answer
    x = 465.78

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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.