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Finding the Fourth Proportional to 319.62, 440.77 and 231.69

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Solution

The fourth proportional to 319.62, 440.77 and 231.69 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.62 : 440.77 = 231.69 : x
  2. Step 2: Convert to fraction form
    319.62/440.77 = 231.69/x
  3. Step 3: Cross multiply
    319.62x = 440.77 × 231.69
  4. Step 4: Simplify right side
    319.62x = 102,119.14
  5. Step 5: Solve for x
    x = 102,119.14/319.62
  6. Step 6: Final answer
    x = 319.50

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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.