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Finding the Fourth Proportional to 215.95, 296.39 and 197.41

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Solution

The fourth proportional to 215.95, 296.39 and 197.41 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.95 : 296.39 = 197.41 : x
  2. Step 2: Convert to fraction form
    215.95/296.39 = 197.41/x
  3. Step 3: Cross multiply
    215.95x = 296.39 × 197.41
  4. Step 4: Simplify right side
    215.95x = 58,510.35
  5. Step 5: Solve for x
    x = 58,510.35/215.95
  6. Step 6: Final answer
    x = 270.94

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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.