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Finding the Fourth Proportional to 231.82, 319.89 and 144.49

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Solution

The fourth proportional to 231.82, 319.89 and 144.49 is: 199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.82 : 319.89 = 144.49 : x
  2. Step 2: Convert to fraction form
    231.82/319.89 = 144.49/x
  3. Step 3: Cross multiply
    231.82x = 319.89 × 144.49
  4. Step 4: Simplify right side
    231.82x = 46,220.91
  5. Step 5: Solve for x
    x = 46,220.91/231.82
  6. Step 6: Final answer
    x = 199.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.