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Finding the Fourth Proportional to 281.38, 388.23 and 170.86

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Solution

The fourth proportional to 281.38, 388.23 and 170.86 is: 235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 388.23 = 170.86 : x
  2. Step 2: Convert to fraction form
    281.38/388.23 = 170.86/x
  3. Step 3: Cross multiply
    281.38x = 388.23 × 170.86
  4. Step 4: Simplify right side
    281.38x = 66,332.43
  5. Step 5: Solve for x
    x = 66,332.43/281.38
  6. Step 6: Final answer
    x = 235.74

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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.