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Finding the Fourth Proportional to 199.21, 274.80 and 168.31

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Solution

The fourth proportional to 199.21, 274.80 and 168.31 is: 232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.21 : 274.80 = 168.31 : x
  2. Step 2: Convert to fraction form
    199.21/274.80 = 168.31/x
  3. Step 3: Cross multiply
    199.21x = 274.80 × 168.31
  4. Step 4: Simplify right side
    199.21x = 46,251.59
  5. Step 5: Solve for x
    x = 46,251.59/199.21
  6. Step 6: Final answer
    x = 232.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.