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Finding the Fourth Proportional to 391.82, 585.65 and 299.55

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Solution

The fourth proportional to 391.82, 585.65 and 299.55 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.82 : 585.65 = 299.55 : x
  2. Step 2: Convert to fraction form
    391.82/585.65 = 299.55/x
  3. Step 3: Cross multiply
    391.82x = 585.65 × 299.55
  4. Step 4: Simplify right side
    391.82x = 175,429.96
  5. Step 5: Solve for x
    x = 175,429.96/391.82
  6. Step 6: Final answer
    x = 447.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.