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Finding the Fourth Proportional to 130.28, 194.57 and 119.58

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Solution

The fourth proportional to 130.28, 194.57 and 119.58 is: 178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.28 : 194.57 = 119.58 : x
  2. Step 2: Convert to fraction form
    130.28/194.57 = 119.58/x
  3. Step 3: Cross multiply
    130.28x = 194.57 × 119.58
  4. Step 4: Simplify right side
    130.28x = 23,265.80
  5. Step 5: Solve for x
    x = 23,265.80/130.28
  6. Step 6: Final answer
    x = 178.59

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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.