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Finding the Fourth Proportional to 188.88, 258.82 and 186.31

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Solution

The fourth proportional to 188.88, 258.82 and 186.31 is: 255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.88 : 258.82 = 186.31 : x
  2. Step 2: Convert to fraction form
    188.88/258.82 = 186.31/x
  3. Step 3: Cross multiply
    188.88x = 258.82 × 186.31
  4. Step 4: Simplify right side
    188.88x = 48,220.75
  5. Step 5: Solve for x
    x = 48,220.75/188.88
  6. Step 6: Final answer
    x = 255.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.