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Finding the Fourth Proportional to 221.90, 305.96 and 192.38

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Solution

The fourth proportional to 221.90, 305.96 and 192.38 is: 265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 305.96 = 192.38 : x
  2. Step 2: Convert to fraction form
    221.90/305.96 = 192.38/x
  3. Step 3: Cross multiply
    221.90x = 305.96 × 192.38
  4. Step 4: Simplify right side
    221.90x = 58,858.09
  5. Step 5: Solve for x
    x = 58,858.09/221.90
  6. Step 6: Final answer
    x = 265.25

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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.