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Finding the Fourth Proportional to 281.38, 388.30 and 170.83

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Solution

The fourth proportional to 281.38, 388.30 and 170.83 is: 235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 388.30 = 170.83 : x
  2. Step 2: Convert to fraction form
    281.38/388.30 = 170.83/x
  3. Step 3: Cross multiply
    281.38x = 388.30 × 170.83
  4. Step 4: Simplify right side
    281.38x = 66,333.29
  5. Step 5: Solve for x
    x = 66,333.29/281.38
  6. Step 6: Final answer
    x = 235.75

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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.