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Finding the Fourth Proportional to 216.39, 323.94 and 187.54

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Solution

The fourth proportional to 216.39, 323.94 and 187.54 is: 280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.39 : 323.94 = 187.54 : x
  2. Step 2: Convert to fraction form
    216.39/323.94 = 187.54/x
  3. Step 3: Cross multiply
    216.39x = 323.94 × 187.54
  4. Step 4: Simplify right side
    216.39x = 60,750.09
  5. Step 5: Solve for x
    x = 60,750.09/216.39
  6. Step 6: Final answer
    x = 280.74

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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.