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Finding the Fourth Proportional to 174.24, 238.74 and 168.09

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Solution

The fourth proportional to 174.24, 238.74 and 168.09 is: 230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 238.74 = 168.09 : x
  2. Step 2: Convert to fraction form
    174.24/238.74 = 168.09/x
  3. Step 3: Cross multiply
    174.24x = 238.74 × 168.09
  4. Step 4: Simplify right side
    174.24x = 40,129.81
  5. Step 5: Solve for x
    x = 40,129.81/174.24
  6. Step 6: Final answer
    x = 230.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.