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Finding the Fourth Proportional to 174.00, 239.97 and 108.43

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Solution

The fourth proportional to 174.00, 239.97 and 108.43 is: 149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.00 : 239.97 = 108.43 : x
  2. Step 2: Convert to fraction form
    174.00/239.97 = 108.43/x
  3. Step 3: Cross multiply
    174.00x = 239.97 × 108.43
  4. Step 4: Simplify right side
    174.00x = 26,019.95
  5. Step 5: Solve for x
    x = 26,019.95/174.00
  6. Step 6: Final answer
    x = 149.54

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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.