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Finding the Fourth Proportional to 215.93, 324.44 and 202.97

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Solution

The fourth proportional to 215.93, 324.44 and 202.97 is: 304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.93 : 324.44 = 202.97 : x
  2. Step 2: Convert to fraction form
    215.93/324.44 = 202.97/x
  3. Step 3: Cross multiply
    215.93x = 324.44 × 202.97
  4. Step 4: Simplify right side
    215.93x = 65,850.57
  5. Step 5: Solve for x
    x = 65,850.57/215.93
  6. Step 6: Final answer
    x = 304.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.