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Finding the Fourth Proportional to 326.28, 450.90 and 290.28

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Solution

The fourth proportional to 326.28, 450.90 and 290.28 is: 401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.28 : 450.90 = 290.28 : x
  2. Step 2: Convert to fraction form
    326.28/450.90 = 290.28/x
  3. Step 3: Cross multiply
    326.28x = 450.90 × 290.28
  4. Step 4: Simplify right side
    326.28x = 130,887.25
  5. Step 5: Solve for x
    x = 130,887.25/326.28
  6. Step 6: Final answer
    x = 401.15

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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.