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Finding the Fourth Proportional to 141.28, 195.28 and 128.23

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Solution

The fourth proportional to 141.28, 195.28 and 128.23 is: 177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.28 : 195.28 = 128.23 : x
  2. Step 2: Convert to fraction form
    141.28/195.28 = 128.23/x
  3. Step 3: Cross multiply
    141.28x = 195.28 × 128.23
  4. Step 4: Simplify right side
    141.28x = 25,039.95
  5. Step 5: Solve for x
    x = 25,039.95/141.28
  6. Step 6: Final answer
    x = 177.24

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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.