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Finding the Fourth Proportional to 188.25, 259.78 and 105.34

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Solution

The fourth proportional to 188.25, 259.78 and 105.34 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.25 : 259.78 = 105.34 : x
  2. Step 2: Convert to fraction form
    188.25/259.78 = 105.34/x
  3. Step 3: Cross multiply
    188.25x = 259.78 × 105.34
  4. Step 4: Simplify right side
    188.25x = 27,365.77
  5. Step 5: Solve for x
    x = 27,365.77/188.25
  6. Step 6: Final answer
    x = 145.37

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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.