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Finding the Fourth Proportional to 188.13, 259.56 and 129.95

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Solution

The fourth proportional to 188.13, 259.56 and 129.95 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.13 : 259.56 = 129.95 : x
  2. Step 2: Convert to fraction form
    188.13/259.56 = 129.95/x
  3. Step 3: Cross multiply
    188.13x = 259.56 × 129.95
  4. Step 4: Simplify right side
    188.13x = 33,728.52
  5. Step 5: Solve for x
    x = 33,728.52/188.13
  6. Step 6: Final answer
    x = 179.28

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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.