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Finding the Fourth Proportional to 144.58, 218.01 and 141.84

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Solution

The fourth proportional to 144.58, 218.01 and 141.84 is: 213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.58 : 218.01 = 141.84 : x
  2. Step 2: Convert to fraction form
    144.58/218.01 = 141.84/x
  3. Step 3: Cross multiply
    144.58x = 218.01 × 141.84
  4. Step 4: Simplify right side
    144.58x = 30,922.54
  5. Step 5: Solve for x
    x = 30,922.54/144.58
  6. Step 6: Final answer
    x = 213.88

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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.