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Finding the Fourth Proportional to 199.35, 274.41 and 171.81

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Solution

The fourth proportional to 199.35, 274.41 and 171.81 is: 236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 274.41 = 171.81 : x
  2. Step 2: Convert to fraction form
    199.35/274.41 = 171.81/x
  3. Step 3: Cross multiply
    199.35x = 274.41 × 171.81
  4. Step 4: Simplify right side
    199.35x = 47,146.38
  5. Step 5: Solve for x
    x = 47,146.38/199.35
  6. Step 6: Final answer
    x = 236.50

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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.