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Finding the Fourth Proportional to 199.86, 301.31 and 168

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Solution

The fourth proportional to 199.86, 301.31 and 168 is: 253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.86 : 301.31 = 168 : x
  2. Step 2: Convert to fraction form
    199.86/301.31 = 168/x
  3. Step 3: Cross multiply
    199.86x = 301.31 × 168
  4. Step 4: Simplify right side
    199.86x = 50,619.24
  5. Step 5: Solve for x
    x = 50,619.24/199.86
  6. Step 6: Final answer
    x = 253.27

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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.