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Finding the Fourth Proportional to 216.73, 298.96 and 170.03

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Solution

The fourth proportional to 216.73, 298.96 and 170.03 is: 234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.73 : 298.96 = 170.03 : x
  2. Step 2: Convert to fraction form
    216.73/298.96 = 170.03/x
  3. Step 3: Cross multiply
    216.73x = 298.96 × 170.03
  4. Step 4: Simplify right side
    216.73x = 50,832.49
  5. Step 5: Solve for x
    x = 50,832.49/216.73
  6. Step 6: Final answer
    x = 234.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.