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Finding the Fourth Proportional to 141.82, 195.28 and 130.68

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Solution

The fourth proportional to 141.82, 195.28 and 130.68 is: 179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.82 : 195.28 = 130.68 : x
  2. Step 2: Convert to fraction form
    141.82/195.28 = 130.68/x
  3. Step 3: Cross multiply
    141.82x = 195.28 × 130.68
  4. Step 4: Simplify right side
    141.82x = 25,518.86
  5. Step 5: Solve for x
    x = 25,518.86/141.82
  6. Step 6: Final answer
    x = 179.94

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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.