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Finding the Fourth Proportional to 217.94, 326.57 and 120.35

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Solution

The fourth proportional to 217.94, 326.57 and 120.35 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.94 : 326.57 = 120.35 : x
  2. Step 2: Convert to fraction form
    217.94/326.57 = 120.35/x
  3. Step 3: Cross multiply
    217.94x = 326.57 × 120.35
  4. Step 4: Simplify right side
    217.94x = 39,302.91
  5. Step 5: Solve for x
    x = 39,302.91/217.94
  6. Step 6: Final answer
    x = 180.34

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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.