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Finding the Fourth Proportional to 281.06, 388.24 and 254.86

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Solution

The fourth proportional to 281.06, 388.24 and 254.86 is: 352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.06 : 388.24 = 254.86 : x
  2. Step 2: Convert to fraction form
    281.06/388.24 = 254.86/x
  3. Step 3: Cross multiply
    281.06x = 388.24 × 254.86
  4. Step 4: Simplify right side
    281.06x = 98,948.45
  5. Step 5: Solve for x
    x = 98,948.45/281.06
  6. Step 6: Final answer
    x = 352.05

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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.