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Finding the Fourth Proportional to 326.94, 490.68 and 288.78

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Solution

The fourth proportional to 326.94, 490.68 and 288.78 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.94 : 490.68 = 288.78 : x
  2. Step 2: Convert to fraction form
    326.94/490.68 = 288.78/x
  3. Step 3: Cross multiply
    326.94x = 490.68 × 288.78
  4. Step 4: Simplify right side
    326.94x = 141,698.57
  5. Step 5: Solve for x
    x = 141,698.57/326.94
  6. Step 6: Final answer
    x = 433.41

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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.