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Finding the Fourth Proportional to 301.96, 413.58 and 284.23

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Solution

The fourth proportional to 301.96, 413.58 and 284.23 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 413.58 = 284.23 : x
  2. Step 2: Convert to fraction form
    301.96/413.58 = 284.23/x
  3. Step 3: Cross multiply
    301.96x = 413.58 × 284.23
  4. Step 4: Simplify right side
    301.96x = 117,550.60
  5. Step 5: Solve for x
    x = 117,550.60/301.96
  6. Step 6: Final answer
    x = 389.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.