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Finding the Fourth Proportional to 217.94, 326.03 and 172.17

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Solution

The fourth proportional to 217.94, 326.03 and 172.17 is: 257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.94 : 326.03 = 172.17 : x
  2. Step 2: Convert to fraction form
    217.94/326.03 = 172.17/x
  3. Step 3: Cross multiply
    217.94x = 326.03 × 172.17
  4. Step 4: Simplify right side
    217.94x = 56,131.72
  5. Step 5: Solve for x
    x = 56,131.72/217.94
  6. Step 6: Final answer
    x = 257.56

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