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Finding the Fourth Proportional to 190.69, 262.96 and 171.32

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Solution

The fourth proportional to 190.69, 262.96 and 171.32 is: 236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 262.96 = 171.32 : x
  2. Step 2: Convert to fraction form
    190.69/262.96 = 171.32/x
  3. Step 3: Cross multiply
    190.69x = 262.96 × 171.32
  4. Step 4: Simplify right side
    190.69x = 45,048.14
  5. Step 5: Solve for x
    x = 45,048.14/190.69
  6. Step 6: Final answer
    x = 236.24

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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.