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Finding the Fourth Proportional to 294.06, 406.06 and 195.78

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Solution

The fourth proportional to 294.06, 406.06 and 195.78 is: 270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.06 : 406.06 = 195.78 : x
  2. Step 2: Convert to fraction form
    294.06/406.06 = 195.78/x
  3. Step 3: Cross multiply
    294.06x = 406.06 × 195.78
  4. Step 4: Simplify right side
    294.06x = 79,498.43
  5. Step 5: Solve for x
    x = 79,498.43/294.06
  6. Step 6: Final answer
    x = 270.35

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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.