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Finding the Fourth Proportional to 216.22, 324.28 and 92.78

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Solution

The fourth proportional to 216.22, 324.28 and 92.78 is: 139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.22 : 324.28 = 92.78 : x
  2. Step 2: Convert to fraction form
    216.22/324.28 = 92.78/x
  3. Step 3: Cross multiply
    216.22x = 324.28 × 92.78
  4. Step 4: Simplify right side
    216.22x = 30,084.85
  5. Step 5: Solve for x
    x = 30,084.85/216.22
  6. Step 6: Final answer
    x = 139.14

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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.