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Finding the Fourth Proportional to 216, 323.99 and 78.94

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Solution

The fourth proportional to 216, 323.99 and 78.94 is: 118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 323.99 = 78.94 : x
  2. Step 2: Convert to fraction form
    216/323.99 = 78.94/x
  3. Step 3: Cross multiply
    216x = 323.99 × 78.94
  4. Step 4: Simplify right side
    216x = 25,576.08
  5. Step 5: Solve for x
    x = 25,576.08/216
  6. Step 6: Final answer
    x = 118.41

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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.