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Finding the Fourth Proportional to 144.73, 218.11 and 130.30

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Solution

The fourth proportional to 144.73, 218.11 and 130.30 is: 196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.73 : 218.11 = 130.30 : x
  2. Step 2: Convert to fraction form
    144.73/218.11 = 130.30/x
  3. Step 3: Cross multiply
    144.73x = 218.11 × 130.30
  4. Step 4: Simplify right side
    144.73x = 28,419.72
  5. Step 5: Solve for x
    x = 28,419.72/144.73
  6. Step 6: Final answer
    x = 196.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.