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Finding the Fourth Proportional to 281.20, 388.22 and 188.25

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Solution

The fourth proportional to 281.20, 388.22 and 188.25 is: 259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.20 : 388.22 = 188.25 : x
  2. Step 2: Convert to fraction form
    281.20/388.22 = 188.25/x
  3. Step 3: Cross multiply
    281.20x = 388.22 × 188.25
  4. Step 4: Simplify right side
    281.20x = 73,081.47
  5. Step 5: Solve for x
    x = 73,081.47/281.20
  6. Step 6: Final answer
    x = 259.89

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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.