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Finding the Fourth Proportional to 188.38, 259.99 and 105.52

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Solution

The fourth proportional to 188.38, 259.99 and 105.52 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.38 : 259.99 = 105.52 : x
  2. Step 2: Convert to fraction form
    188.38/259.99 = 105.52/x
  3. Step 3: Cross multiply
    188.38x = 259.99 × 105.52
  4. Step 4: Simplify right side
    188.38x = 27,432.99
  5. Step 5: Solve for x
    x = 27,432.99/188.38
  6. Step 6: Final answer
    x = 145.62

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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.