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Finding the Fourth Proportional to 144.03, 197.69 and 128.13

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Solution

The fourth proportional to 144.03, 197.69 and 128.13 is: 175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.03 : 197.69 = 128.13 : x
  2. Step 2: Convert to fraction form
    144.03/197.69 = 128.13/x
  3. Step 3: Cross multiply
    144.03x = 197.69 × 128.13
  4. Step 4: Simplify right side
    144.03x = 25,329.38
  5. Step 5: Solve for x
    x = 25,329.38/144.03
  6. Step 6: Final answer
    x = 175.86

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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.