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Finding the Fourth Proportional to 130.20, 194.31 and 119.70

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Solution

The fourth proportional to 130.20, 194.31 and 119.70 is: 178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.20 : 194.31 = 119.70 : x
  2. Step 2: Convert to fraction form
    130.20/194.31 = 119.70/x
  3. Step 3: Cross multiply
    130.20x = 194.31 × 119.70
  4. Step 4: Simplify right side
    130.20x = 23,258.91
  5. Step 5: Solve for x
    x = 23,258.91/130.20
  6. Step 6: Final answer
    x = 178.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.