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Finding the Fourth Proportional to 141.36, 194.04 and 130.32

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Solution

The fourth proportional to 141.36, 194.04 and 130.32 is: 178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.36 : 194.04 = 130.32 : x
  2. Step 2: Convert to fraction form
    141.36/194.04 = 130.32/x
  3. Step 3: Cross multiply
    141.36x = 194.04 × 130.32
  4. Step 4: Simplify right side
    141.36x = 25,287.29
  5. Step 5: Solve for x
    x = 25,287.29/141.36
  6. Step 6: Final answer
    x = 178.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.