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Finding the Fourth Proportional to 216.33, 325.78 and 194.92

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Solution

The fourth proportional to 216.33, 325.78 and 194.92 is: 293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.33 : 325.78 = 194.92 : x
  2. Step 2: Convert to fraction form
    216.33/325.78 = 194.92/x
  3. Step 3: Cross multiply
    216.33x = 325.78 × 194.92
  4. Step 4: Simplify right side
    216.33x = 63,501.04
  5. Step 5: Solve for x
    x = 63,501.04/216.33
  6. Step 6: Final answer
    x = 293.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.