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Finding the Fourth Proportional to 326.99, 451.31 and 228.69

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Solution

The fourth proportional to 326.99, 451.31 and 228.69 is: 315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.99 : 451.31 = 228.69 : x
  2. Step 2: Convert to fraction form
    326.99/451.31 = 228.69/x
  3. Step 3: Cross multiply
    326.99x = 451.31 × 228.69
  4. Step 4: Simplify right side
    326.99x = 103,208.94
  5. Step 5: Solve for x
    x = 103,208.94/326.99
  6. Step 6: Final answer
    x = 315.63

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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.