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Finding the Fourth Proportional to 174.59, 239.41 and 168.77

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Solution

The fourth proportional to 174.59, 239.41 and 168.77 is: 231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.59 : 239.41 = 168.77 : x
  2. Step 2: Convert to fraction form
    174.59/239.41 = 168.77/x
  3. Step 3: Cross multiply
    174.59x = 239.41 × 168.77
  4. Step 4: Simplify right side
    174.59x = 40,405.23
  5. Step 5: Solve for x
    x = 40,405.23/174.59
  6. Step 6: Final answer
    x = 231.43

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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.