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Finding the Fourth Proportional to 221.73, 305.94 and 151.84

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Solution

The fourth proportional to 221.73, 305.94 and 151.84 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.73 : 305.94 = 151.84 : x
  2. Step 2: Convert to fraction form
    221.73/305.94 = 151.84/x
  3. Step 3: Cross multiply
    221.73x = 305.94 × 151.84
  4. Step 4: Simplify right side
    221.73x = 46,453.93
  5. Step 5: Solve for x
    x = 46,453.93/221.73
  6. Step 6: Final answer
    x = 209.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.