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Finding the Fourth Proportional to 326.18, 491.36 and 294.12

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Solution

The fourth proportional to 326.18, 491.36 and 294.12 is: 443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.18 : 491.36 = 294.12 : x
  2. Step 2: Convert to fraction form
    326.18/491.36 = 294.12/x
  3. Step 3: Cross multiply
    326.18x = 491.36 × 294.12
  4. Step 4: Simplify right side
    326.18x = 144,517.33
  5. Step 5: Solve for x
    x = 144,517.33/326.18
  6. Step 6: Final answer
    x = 443.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.