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Finding the Fourth Proportional to 195.05, 268.49 and 162.38

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Solution

The fourth proportional to 195.05, 268.49 and 162.38 is: 223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.05 : 268.49 = 162.38 : x
  2. Step 2: Convert to fraction form
    195.05/268.49 = 162.38/x
  3. Step 3: Cross multiply
    195.05x = 268.49 × 162.38
  4. Step 4: Simplify right side
    195.05x = 43,595.25
  5. Step 5: Solve for x
    x = 43,595.25/195.05
  6. Step 6: Final answer
    x = 223.51

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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.