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Finding the Fourth Proportional to 326.68, 451.07 and 228.72

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Solution

The fourth proportional to 326.68, 451.07 and 228.72 is: 315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.68 : 451.07 = 228.72 : x
  2. Step 2: Convert to fraction form
    326.68/451.07 = 228.72/x
  3. Step 3: Cross multiply
    326.68x = 451.07 × 228.72
  4. Step 4: Simplify right side
    326.68x = 103,170.14
  5. Step 5: Solve for x
    x = 103,170.14/326.68
  6. Step 6: Final answer
    x = 315.81

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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.