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Finding the Fourth Proportional to 188.19, 259.77 and 129.21

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Solution

The fourth proportional to 188.19, 259.77 and 129.21 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 259.77 = 129.21 : x
  2. Step 2: Convert to fraction form
    188.19/259.77 = 129.21/x
  3. Step 3: Cross multiply
    188.19x = 259.77 × 129.21
  4. Step 4: Simplify right side
    188.19x = 33,564.88
  5. Step 5: Solve for x
    x = 33,564.88/188.19
  6. Step 6: Final answer
    x = 178.36

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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.