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Finding the Fourth Proportional to 188.29, 259.82 and 105.38

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Solution

The fourth proportional to 188.29, 259.82 and 105.38 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.29 : 259.82 = 105.38 : x
  2. Step 2: Convert to fraction form
    188.29/259.82 = 105.38/x
  3. Step 3: Cross multiply
    188.29x = 259.82 × 105.38
  4. Step 4: Simplify right side
    188.29x = 27,378.80
  5. Step 5: Solve for x
    x = 27,378.80/188.29
  6. Step 6: Final answer
    x = 145.41

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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.