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Finding the Fourth Proportional to 219.82, 304.11 and 193.99

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Solution

The fourth proportional to 219.82, 304.11 and 193.99 is: 268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.82 : 304.11 = 193.99 : x
  2. Step 2: Convert to fraction form
    219.82/304.11 = 193.99/x
  3. Step 3: Cross multiply
    219.82x = 304.11 × 193.99
  4. Step 4: Simplify right side
    219.82x = 58,994.30
  5. Step 5: Solve for x
    x = 58,994.30/219.82
  6. Step 6: Final answer
    x = 268.38

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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.