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Finding the Fourth Proportional to 195.84, 268.08 and 189.60

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Solution

The fourth proportional to 195.84, 268.08 and 189.60 is: 259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 268.08 = 189.60 : x
  2. Step 2: Convert to fraction form
    195.84/268.08 = 189.60/x
  3. Step 3: Cross multiply
    195.84x = 268.08 × 189.60
  4. Step 4: Simplify right side
    195.84x = 50,827.97
  5. Step 5: Solve for x
    x = 50,827.97/195.84
  6. Step 6: Final answer
    x = 259.54

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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.