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Finding the Fourth Proportional to 326.68, 448.39 and 290.92

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Solution

The fourth proportional to 326.68, 448.39 and 290.92 is: 399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.68 : 448.39 = 290.92 : x
  2. Step 2: Convert to fraction form
    326.68/448.39 = 290.92/x
  3. Step 3: Cross multiply
    326.68x = 448.39 × 290.92
  4. Step 4: Simplify right side
    326.68x = 130,445.62
  5. Step 5: Solve for x
    x = 130,445.62/326.68
  6. Step 6: Final answer
    x = 399.31

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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.