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Finding the Fourth Proportional to 301.82, 416.97 and 229.07

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Solution

The fourth proportional to 301.82, 416.97 and 229.07 is: 316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.82 : 416.97 = 229.07 : x
  2. Step 2: Convert to fraction form
    301.82/416.97 = 229.07/x
  3. Step 3: Cross multiply
    301.82x = 416.97 × 229.07
  4. Step 4: Simplify right side
    301.82x = 95,516.36
  5. Step 5: Solve for x
    x = 95,516.36/301.82
  6. Step 6: Final answer
    x = 316.47

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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.