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Finding the Fourth Proportional to 144.41, 200.13 and 141.68

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Solution

The fourth proportional to 144.41, 200.13 and 141.68 is: 196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.41 : 200.13 = 141.68 : x
  2. Step 2: Convert to fraction form
    144.41/200.13 = 141.68/x
  3. Step 3: Cross multiply
    144.41x = 200.13 × 141.68
  4. Step 4: Simplify right side
    144.41x = 28,353.39
  5. Step 5: Solve for x
    x = 28,353.39/144.41
  6. Step 6: Final answer
    x = 196.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.