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Finding the Fourth Proportional to 144.13, 197.18 and 141.70

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Solution

The fourth proportional to 144.13, 197.18 and 141.70 is: 193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.13 : 197.18 = 141.70 : x
  2. Step 2: Convert to fraction form
    144.13/197.18 = 141.70/x
  3. Step 3: Cross multiply
    144.13x = 197.18 × 141.70
  4. Step 4: Simplify right side
    144.13x = 27,940.41
  5. Step 5: Solve for x
    x = 27,940.41/144.13
  6. Step 6: Final answer
    x = 193.86

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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.