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Finding the Fourth Proportional to 129.28, 177.96 and 119.56

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Solution

The fourth proportional to 129.28, 177.96 and 119.56 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.28 : 177.96 = 119.56 : x
  2. Step 2: Convert to fraction form
    129.28/177.96 = 119.56/x
  3. Step 3: Cross multiply
    129.28x = 177.96 × 119.56
  4. Step 4: Simplify right side
    129.28x = 21,276.90
  5. Step 5: Solve for x
    x = 21,276.90/129.28
  6. Step 6: Final answer
    x = 164.58

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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.