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Finding the Fourth Proportional to 216.72, 323.51 and 189.39

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Solution

The fourth proportional to 216.72, 323.51 and 189.39 is: 282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.72 : 323.51 = 189.39 : x
  2. Step 2: Convert to fraction form
    216.72/323.51 = 189.39/x
  3. Step 3: Cross multiply
    216.72x = 323.51 × 189.39
  4. Step 4: Simplify right side
    216.72x = 61,268.61
  5. Step 5: Solve for x
    x = 61,268.61/216.72
  6. Step 6: Final answer
    x = 282.71

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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.