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Finding the Fourth Proportional to 215.74, 324.77 and 196.60

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Solution

The fourth proportional to 215.74, 324.77 and 196.60 is: 295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.74 : 324.77 = 196.60 : x
  2. Step 2: Convert to fraction form
    215.74/324.77 = 196.60/x
  3. Step 3: Cross multiply
    215.74x = 324.77 × 196.60
  4. Step 4: Simplify right side
    215.74x = 63,849.70
  5. Step 5: Solve for x
    x = 63,849.70/215.74
  6. Step 6: Final answer
    x = 295.96

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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.