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Finding the Fourth Proportional to 188.12, 259.59 and 105.22

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Solution

The fourth proportional to 188.12, 259.59 and 105.22 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 259.59 = 105.22 : x
  2. Step 2: Convert to fraction form
    188.12/259.59 = 105.22/x
  3. Step 3: Cross multiply
    188.12x = 259.59 × 105.22
  4. Step 4: Simplify right side
    188.12x = 27,314.06
  5. Step 5: Solve for x
    x = 27,314.06/188.12
  6. Step 6: Final answer
    x = 145.19

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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.