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Finding the Fourth Proportional to 326.22, 449.70 and 228.24

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Solution

The fourth proportional to 326.22, 449.70 and 228.24 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.22 : 449.70 = 228.24 : x
  2. Step 2: Convert to fraction form
    326.22/449.70 = 228.24/x
  3. Step 3: Cross multiply
    326.22x = 449.70 × 228.24
  4. Step 4: Simplify right side
    326.22x = 102,639.53
  5. Step 5: Solve for x
    x = 102,639.53/326.22
  6. Step 6: Final answer
    x = 314.63

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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.