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Finding the Fourth Proportional to 215.70, 296.82 and 195

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Solution

The fourth proportional to 215.70, 296.82 and 195 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.70 : 296.82 = 195 : x
  2. Step 2: Convert to fraction form
    215.70/296.82 = 195/x
  3. Step 3: Cross multiply
    215.70x = 296.82 × 195
  4. Step 4: Simplify right side
    215.70x = 57,879.90
  5. Step 5: Solve for x
    x = 57,879.90/215.70
  6. Step 6: Final answer
    x = 268.34

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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.