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Finding the Fourth Proportional to 215.73, 323.69 and 78.79

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Solution

The fourth proportional to 215.73, 323.69 and 78.79 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.73 : 323.69 = 78.79 : x
  2. Step 2: Convert to fraction form
    215.73/323.69 = 78.79/x
  3. Step 3: Cross multiply
    215.73x = 323.69 × 78.79
  4. Step 4: Simplify right side
    215.73x = 25,502.33
  5. Step 5: Solve for x
    x = 25,502.33/215.73
  6. Step 6: Final answer
    x = 118.21

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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.