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Finding the Fourth Proportional to 216, 321.84 and 199.44

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Solution

The fourth proportional to 216, 321.84 and 199.44 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 321.84 = 199.44 : x
  2. Step 2: Convert to fraction form
    216/321.84 = 199.44/x
  3. Step 3: Cross multiply
    216x = 321.84 × 199.44
  4. Step 4: Simplify right side
    216x = 64,187.77
  5. Step 5: Solve for x
    x = 64,187.77/216
  6. Step 6: Final answer
    x = 297.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.