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Finding the Fourth Proportional to 294.20, 405.49 and 195.78

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Solution

The fourth proportional to 294.20, 405.49 and 195.78 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.20 : 405.49 = 195.78 : x
  2. Step 2: Convert to fraction form
    294.20/405.49 = 195.78/x
  3. Step 3: Cross multiply
    294.20x = 405.49 × 195.78
  4. Step 4: Simplify right side
    294.20x = 79,386.83
  5. Step 5: Solve for x
    x = 79,386.83/294.20
  6. Step 6: Final answer
    x = 269.84

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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.