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Finding the Fourth Proportional to 284.23, 391.67 and 205.41

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Solution

The fourth proportional to 284.23, 391.67 and 205.41 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 391.67 = 205.41 : x
  2. Step 2: Convert to fraction form
    284.23/391.67 = 205.41/x
  3. Step 3: Cross multiply
    284.23x = 391.67 × 205.41
  4. Step 4: Simplify right side
    284.23x = 80,452.93
  5. Step 5: Solve for x
    x = 80,452.93/284.23
  6. Step 6: Final answer
    x = 283.06

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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.