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Finding the Fourth Proportional to 221.45, 304.93 and 193.43

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Solution

The fourth proportional to 221.45, 304.93 and 193.43 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.45 : 304.93 = 193.43 : x
  2. Step 2: Convert to fraction form
    221.45/304.93 = 193.43/x
  3. Step 3: Cross multiply
    221.45x = 304.93 × 193.43
  4. Step 4: Simplify right side
    221.45x = 58,983.61
  5. Step 5: Solve for x
    x = 58,983.61/221.45
  6. Step 6: Final answer
    x = 266.36

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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.