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Finding the Fourth Proportional to 301.69, 416.33 and 163.69

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Solution

The fourth proportional to 301.69, 416.33 and 163.69 is: 225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.69 : 416.33 = 163.69 : x
  2. Step 2: Convert to fraction form
    301.69/416.33 = 163.69/x
  3. Step 3: Cross multiply
    301.69x = 416.33 × 163.69
  4. Step 4: Simplify right side
    301.69x = 68,149.06
  5. Step 5: Solve for x
    x = 68,149.06/301.69
  6. Step 6: Final answer
    x = 225.89

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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.