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Finding the Fourth Proportional to 326.96, 451.40 and 305.20

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Solution

The fourth proportional to 326.96, 451.40 and 305.20 is: 421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.96 : 451.40 = 305.20 : x
  2. Step 2: Convert to fraction form
    326.96/451.40 = 305.20/x
  3. Step 3: Cross multiply
    326.96x = 451.40 × 305.20
  4. Step 4: Simplify right side
    326.96x = 137,767.28
  5. Step 5: Solve for x
    x = 137,767.28/326.96
  6. Step 6: Final answer
    x = 421.36

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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.