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Finding the Fourth Proportional to 217.64, 327.75 and 193.49

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Solution

The fourth proportional to 217.64, 327.75 and 193.49 is: 291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.64 : 327.75 = 193.49 : x
  2. Step 2: Convert to fraction form
    217.64/327.75 = 193.49/x
  3. Step 3: Cross multiply
    217.64x = 327.75 × 193.49
  4. Step 4: Simplify right side
    217.64x = 63,415.21
  5. Step 5: Solve for x
    x = 63,415.21/217.64
  6. Step 6: Final answer
    x = 291.38

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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.