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Finding the Fourth Proportional to 391.84, 588.21 and 310.74

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Solution

The fourth proportional to 391.84, 588.21 and 310.74 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 588.21 = 310.74 : x
  2. Step 2: Convert to fraction form
    391.84/588.21 = 310.74/x
  3. Step 3: Cross multiply
    391.84x = 588.21 × 310.74
  4. Step 4: Simplify right side
    391.84x = 182,778.75
  5. Step 5: Solve for x
    x = 182,778.75/391.84
  6. Step 6: Final answer
    x = 466.47

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