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Finding the Fourth Proportional to 195.95, 295.65 and 189.14

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Solution

The fourth proportional to 195.95, 295.65 and 189.14 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.95 : 295.65 = 189.14 : x
  2. Step 2: Convert to fraction form
    195.95/295.65 = 189.14/x
  3. Step 3: Cross multiply
    195.95x = 295.65 × 189.14
  4. Step 4: Simplify right side
    195.95x = 55,917.76
  5. Step 5: Solve for x
    x = 55,917.76/195.95
  6. Step 6: Final answer
    x = 285.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.