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Finding the Fourth Proportional to 188.58, 258.75 and 178.26

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Solution

The fourth proportional to 188.58, 258.75 and 178.26 is: 244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.58 : 258.75 = 178.26 : x
  2. Step 2: Convert to fraction form
    188.58/258.75 = 178.26/x
  3. Step 3: Cross multiply
    188.58x = 258.75 × 178.26
  4. Step 4: Simplify right side
    188.58x = 46,124.78
  5. Step 5: Solve for x
    x = 46,124.78/188.58
  6. Step 6: Final answer
    x = 244.59

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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.