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Finding the Fourth Proportional to 281.34, 388.19 and 170.78

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Solution

The fourth proportional to 281.34, 388.19 and 170.78 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.34 : 388.19 = 170.78 : x
  2. Step 2: Convert to fraction form
    281.34/388.19 = 170.78/x
  3. Step 3: Cross multiply
    281.34x = 388.19 × 170.78
  4. Step 4: Simplify right side
    281.34x = 66,293.57
  5. Step 5: Solve for x
    x = 66,293.57/281.34
  6. Step 6: Final answer
    x = 235.64

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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.