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Finding the Fourth Proportional to 216.45, 324.40 and 190.82

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Solution

The fourth proportional to 216.45, 324.40 and 190.82 is: 285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.45 : 324.40 = 190.82 : x
  2. Step 2: Convert to fraction form
    216.45/324.40 = 190.82/x
  3. Step 3: Cross multiply
    216.45x = 324.40 × 190.82
  4. Step 4: Simplify right side
    216.45x = 61,902.01
  5. Step 5: Solve for x
    x = 61,902.01/216.45
  6. Step 6: Final answer
    x = 285.99

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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.