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Finding the Fourth Proportional to 188.03, 258.86 and 141.33

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Solution

The fourth proportional to 188.03, 258.86 and 141.33 is: 194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.03 : 258.86 = 141.33 : x
  2. Step 2: Convert to fraction form
    188.03/258.86 = 141.33/x
  3. Step 3: Cross multiply
    188.03x = 258.86 × 141.33
  4. Step 4: Simplify right side
    188.03x = 36,584.68
  5. Step 5: Solve for x
    x = 36,584.68/188.03
  6. Step 6: Final answer
    x = 194.57

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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.