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Finding the Fourth Proportional to 174.13, 239.42 and 144.25

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Solution

The fourth proportional to 174.13, 239.42 and 144.25 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.13 : 239.42 = 144.25 : x
  2. Step 2: Convert to fraction form
    174.13/239.42 = 144.25/x
  3. Step 3: Cross multiply
    174.13x = 239.42 × 144.25
  4. Step 4: Simplify right side
    174.13x = 34,536.34
  5. Step 5: Solve for x
    x = 34,536.34/174.13
  6. Step 6: Final answer
    x = 198.34

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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.