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Finding the Fourth Proportional to 216.80, 298.64 and 170

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Solution

The fourth proportional to 216.80, 298.64 and 170 is: 234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.80 : 298.64 = 170 : x
  2. Step 2: Convert to fraction form
    216.80/298.64 = 170/x
  3. Step 3: Cross multiply
    216.80x = 298.64 × 170
  4. Step 4: Simplify right side
    216.80x = 50,768.80
  5. Step 5: Solve for x
    x = 50,768.80/216.80
  6. Step 6: Final answer
    x = 234.17

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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.