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Finding the Fourth Proportional to 326.71, 489.43 and 290.26

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Solution

The fourth proportional to 326.71, 489.43 and 290.26 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.71 : 489.43 = 290.26 : x
  2. Step 2: Convert to fraction form
    326.71/489.43 = 290.26/x
  3. Step 3: Cross multiply
    326.71x = 489.43 × 290.26
  4. Step 4: Simplify right side
    326.71x = 142,061.95
  5. Step 5: Solve for x
    x = 142,061.95/326.71
  6. Step 6: Final answer
    x = 434.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.