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Finding the Fourth Proportional to 391.49, 588.14 and 336.81

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Solution

The fourth proportional to 391.49, 588.14 and 336.81 is: 505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.49 : 588.14 = 336.81 : x
  2. Step 2: Convert to fraction form
    391.49/588.14 = 336.81/x
  3. Step 3: Cross multiply
    391.49x = 588.14 × 336.81
  4. Step 4: Simplify right side
    391.49x = 198,091.43
  5. Step 5: Solve for x
    x = 198,091.43/391.49
  6. Step 6: Final answer
    x = 505.99

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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.