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Finding the Fourth Proportional to 174.25, 239.46 and 145.09

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Solution

The fourth proportional to 174.25, 239.46 and 145.09 is: 199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.25 : 239.46 = 145.09 : x
  2. Step 2: Convert to fraction form
    174.25/239.46 = 145.09/x
  3. Step 3: Cross multiply
    174.25x = 239.46 × 145.09
  4. Step 4: Simplify right side
    174.25x = 34,743.01
  5. Step 5: Solve for x
    x = 34,743.01/174.25
  6. Step 6: Final answer
    x = 199.38

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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.