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Finding the Fourth Proportional to 215.73, 321.93 and 192.66

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Solution

The fourth proportional to 215.73, 321.93 and 192.66 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.73 : 321.93 = 192.66 : x
  2. Step 2: Convert to fraction form
    215.73/321.93 = 192.66/x
  3. Step 3: Cross multiply
    215.73x = 321.93 × 192.66
  4. Step 4: Simplify right side
    215.73x = 62,023.03
  5. Step 5: Solve for x
    x = 62,023.03/215.73
  6. Step 6: Final answer
    x = 287.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.