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Finding the Fourth Proportional to 281.59, 388.70 and 204.19

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Solution

The fourth proportional to 281.59, 388.70 and 204.19 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.59 : 388.70 = 204.19 : x
  2. Step 2: Convert to fraction form
    281.59/388.70 = 204.19/x
  3. Step 3: Cross multiply
    281.59x = 388.70 × 204.19
  4. Step 4: Simplify right side
    281.59x = 79,367.63
  5. Step 5: Solve for x
    x = 79,367.63/281.59
  6. Step 6: Final answer
    x = 281.86

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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.