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Finding the Fourth Proportional to 129.36, 177.97 and 119.57

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Solution

The fourth proportional to 129.36, 177.97 and 119.57 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.36 : 177.97 = 119.57 : x
  2. Step 2: Convert to fraction form
    129.36/177.97 = 119.57/x
  3. Step 3: Cross multiply
    129.36x = 177.97 × 119.57
  4. Step 4: Simplify right side
    129.36x = 21,279.28
  5. Step 5: Solve for x
    x = 21,279.28/129.36
  6. Step 6: Final answer
    x = 164.50

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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.