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Finding the Fourth Proportional to 220.93, 304.10 and 193.23

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Solution

The fourth proportional to 220.93, 304.10 and 193.23 is: 265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.93 : 304.10 = 193.23 : x
  2. Step 2: Convert to fraction form
    220.93/304.10 = 193.23/x
  3. Step 3: Cross multiply
    220.93x = 304.10 × 193.23
  4. Step 4: Simplify right side
    220.93x = 58,761.24
  5. Step 5: Solve for x
    x = 58,761.24/220.93
  6. Step 6: Final answer
    x = 265.97

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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.