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Finding the Fourth Proportional to 216.93, 323.56 and 189.69

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Solution

The fourth proportional to 216.93, 323.56 and 189.69 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.93 : 323.56 = 189.69 : x
  2. Step 2: Convert to fraction form
    216.93/323.56 = 189.69/x
  3. Step 3: Cross multiply
    216.93x = 323.56 × 189.69
  4. Step 4: Simplify right side
    216.93x = 61,375.62
  5. Step 5: Solve for x
    x = 61,375.62/216.93
  6. Step 6: Final answer
    x = 282.93

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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.