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Finding the Fourth Proportional to 261.97, 394.48 and 193.97

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Solution

The fourth proportional to 261.97, 394.48 and 193.97 is: 292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 394.48 = 193.97 : x
  2. Step 2: Convert to fraction form
    261.97/394.48 = 193.97/x
  3. Step 3: Cross multiply
    261.97x = 394.48 × 193.97
  4. Step 4: Simplify right side
    261.97x = 76,517.29
  5. Step 5: Solve for x
    x = 76,517.29/261.97
  6. Step 6: Final answer
    x = 292.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.