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Finding the Fourth Proportional to 216.71, 326.23 and 186.94

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Solution

The fourth proportional to 216.71, 326.23 and 186.94 is: 281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.71 : 326.23 = 186.94 : x
  2. Step 2: Convert to fraction form
    216.71/326.23 = 186.94/x
  3. Step 3: Cross multiply
    216.71x = 326.23 × 186.94
  4. Step 4: Simplify right side
    216.71x = 60,985.44
  5. Step 5: Solve for x
    x = 60,985.44/216.71
  6. Step 6: Final answer
    x = 281.41

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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.