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Finding the Fourth Proportional to 294.14, 405.94 and 194.66

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Solution

The fourth proportional to 294.14, 405.94 and 194.66 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.14 : 405.94 = 194.66 : x
  2. Step 2: Convert to fraction form
    294.14/405.94 = 194.66/x
  3. Step 3: Cross multiply
    294.14x = 405.94 × 194.66
  4. Step 4: Simplify right side
    294.14x = 79,020.28
  5. Step 5: Solve for x
    x = 79,020.28/294.14
  6. Step 6: Final answer
    x = 268.65

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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.