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Finding the Fourth Proportional to 301.82, 416.43 and 227.96

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Solution

The fourth proportional to 301.82, 416.43 and 227.96 is: 314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.82 : 416.43 = 227.96 : x
  2. Step 2: Convert to fraction form
    301.82/416.43 = 227.96/x
  3. Step 3: Cross multiply
    301.82x = 416.43 × 227.96
  4. Step 4: Simplify right side
    301.82x = 94,929.38
  5. Step 5: Solve for x
    x = 94,929.38/301.82
  6. Step 6: Final answer
    x = 314.52

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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.