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Finding the Fourth Proportional to 294.26, 405.68 and 206.78

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Solution

The fourth proportional to 294.26, 405.68 and 206.78 is: 285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.26 : 405.68 = 206.78 : x
  2. Step 2: Convert to fraction form
    294.26/405.68 = 206.78/x
  3. Step 3: Cross multiply
    294.26x = 405.68 × 206.78
  4. Step 4: Simplify right side
    294.26x = 83,883.45
  5. Step 5: Solve for x
    x = 83,883.45/294.26
  6. Step 6: Final answer
    x = 285.07

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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.