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Finding the Fourth Proportional to 144.89, 218.20 and 130.61

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Solution

The fourth proportional to 144.89, 218.20 and 130.61 is: 196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.89 : 218.20 = 130.61 : x
  2. Step 2: Convert to fraction form
    144.89/218.20 = 130.61/x
  3. Step 3: Cross multiply
    144.89x = 218.20 × 130.61
  4. Step 4: Simplify right side
    144.89x = 28,498.45
  5. Step 5: Solve for x
    x = 28,498.45/144.89
  6. Step 6: Final answer
    x = 196.69

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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.