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Finding the Fourth Proportional to 391.96, 586.38 and 299.96

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Solution

The fourth proportional to 391.96, 586.38 and 299.96 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.96 : 586.38 = 299.96 : x
  2. Step 2: Convert to fraction form
    391.96/586.38 = 299.96/x
  3. Step 3: Cross multiply
    391.96x = 586.38 × 299.96
  4. Step 4: Simplify right side
    391.96x = 175,890.54
  5. Step 5: Solve for x
    x = 175,890.54/391.96
  6. Step 6: Final answer
    x = 448.75

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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.