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Finding the Fourth Proportional to 215.10, 298.40 and 195.66

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Solution

The fourth proportional to 215.10, 298.40 and 195.66 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.10 : 298.40 = 195.66 : x
  2. Step 2: Convert to fraction form
    215.10/298.40 = 195.66/x
  3. Step 3: Cross multiply
    215.10x = 298.40 × 195.66
  4. Step 4: Simplify right side
    215.10x = 58,383.97
  5. Step 5: Solve for x
    x = 58,383.97/215.10
  6. Step 6: Final answer
    x = 271.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.