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Finding the Fourth Proportional to 391.72, 589.38 and 311.44

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Solution

The fourth proportional to 391.72, 589.38 and 311.44 is: 468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.72 : 589.38 = 311.44 : x
  2. Step 2: Convert to fraction form
    391.72/589.38 = 311.44/x
  3. Step 3: Cross multiply
    391.72x = 589.38 × 311.44
  4. Step 4: Simplify right side
    391.72x = 183,556.51
  5. Step 5: Solve for x
    x = 183,556.51/391.72
  6. Step 6: Final answer
    x = 468.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.