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Finding the Fourth Proportional to 195.66, 268.56 and 174.48

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Solution

The fourth proportional to 195.66, 268.56 and 174.48 is: 239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.66 : 268.56 = 174.48 : x
  2. Step 2: Convert to fraction form
    195.66/268.56 = 174.48/x
  3. Step 3: Cross multiply
    195.66x = 268.56 × 174.48
  4. Step 4: Simplify right side
    195.66x = 46,858.35
  5. Step 5: Solve for x
    x = 46,858.35/195.66
  6. Step 6: Final answer
    x = 239.49

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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.