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Finding the Fourth Proportional to 326.23, 450.16 and 227.81

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Solution

The fourth proportional to 326.23, 450.16 and 227.81 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.23 : 450.16 = 227.81 : x
  2. Step 2: Convert to fraction form
    326.23/450.16 = 227.81/x
  3. Step 3: Cross multiply
    326.23x = 450.16 × 227.81
  4. Step 4: Simplify right side
    326.23x = 102,551.51
  5. Step 5: Solve for x
    x = 102,551.51/326.23
  6. Step 6: Final answer
    x = 314.36

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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.