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Finding the Fourth Proportional to 284.49, 392.34 and 205.78

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Solution

The fourth proportional to 284.49, 392.34 and 205.78 is: 283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.49 : 392.34 = 205.78 : x
  2. Step 2: Convert to fraction form
    284.49/392.34 = 205.78/x
  3. Step 3: Cross multiply
    284.49x = 392.34 × 205.78
  4. Step 4: Simplify right side
    284.49x = 80,735.73
  5. Step 5: Solve for x
    x = 80,735.73/284.49
  6. Step 6: Final answer
    x = 283.79

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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.