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Finding the Fourth Proportional to 130.44, 194.78 and 129.68

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Solution

The fourth proportional to 130.44, 194.78 and 129.68 is: 193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.44 : 194.78 = 129.68 : x
  2. Step 2: Convert to fraction form
    130.44/194.78 = 129.68/x
  3. Step 3: Cross multiply
    130.44x = 194.78 × 129.68
  4. Step 4: Simplify right side
    130.44x = 25,259.07
  5. Step 5: Solve for x
    x = 25,259.07/130.44
  6. Step 6: Final answer
    x = 193.65

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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.