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Finding the Fourth Proportional to 188.25, 259.52 and 129.22

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Solution

The fourth proportional to 188.25, 259.52 and 129.22 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.25 : 259.52 = 129.22 : x
  2. Step 2: Convert to fraction form
    188.25/259.52 = 129.22/x
  3. Step 3: Cross multiply
    188.25x = 259.52 × 129.22
  4. Step 4: Simplify right side
    188.25x = 33,533.88
  5. Step 5: Solve for x
    x = 33,533.88/188.25
  6. Step 6: Final answer
    x = 178.14

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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.