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Finding the Fourth Proportional to 433.91, 650.99 and 217.61

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Solution

The fourth proportional to 433.91, 650.99 and 217.61 is: 326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.91 : 650.99 = 217.61 : x
  2. Step 2: Convert to fraction form
    433.91/650.99 = 217.61/x
  3. Step 3: Cross multiply
    433.91x = 650.99 × 217.61
  4. Step 4: Simplify right side
    433.91x = 141,660.85
  5. Step 5: Solve for x
    x = 141,660.85/433.91
  6. Step 6: Final answer
    x = 326.48

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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.