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Finding the Fourth Proportional to 217.50, 327.39 and 186.18

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Solution

The fourth proportional to 217.50, 327.39 and 186.18 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.50 : 327.39 = 186.18 : x
  2. Step 2: Convert to fraction form
    217.50/327.39 = 186.18/x
  3. Step 3: Cross multiply
    217.50x = 327.39 × 186.18
  4. Step 4: Simplify right side
    217.50x = 60,953.47
  5. Step 5: Solve for x
    x = 60,953.47/217.50
  6. Step 6: Final answer
    x = 280.25

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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.