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Finding the Fourth Proportional to 326.15, 447.66 and 298.47

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Solution

The fourth proportional to 326.15, 447.66 and 298.47 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.15 : 447.66 = 298.47 : x
  2. Step 2: Convert to fraction form
    326.15/447.66 = 298.47/x
  3. Step 3: Cross multiply
    326.15x = 447.66 × 298.47
  4. Step 4: Simplify right side
    326.15x = 133,613.08
  5. Step 5: Solve for x
    x = 133,613.08/326.15
  6. Step 6: Final answer
    x = 409.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.