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Finding the Fourth Proportional to 443.20, 611.69 and 319.27

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Solution

The fourth proportional to 443.20, 611.69 and 319.27 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.20 : 611.69 = 319.27 : x
  2. Step 2: Convert to fraction form
    443.20/611.69 = 319.27/x
  3. Step 3: Cross multiply
    443.20x = 611.69 × 319.27
  4. Step 4: Simplify right side
    443.20x = 195,294.27
  5. Step 5: Solve for x
    x = 195,294.27/443.20
  6. Step 6: Final answer
    x = 440.65

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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.