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Finding the Fourth Proportional to 391.38, 587.39 and 208.91

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Solution

The fourth proportional to 391.38, 587.39 and 208.91 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.38 : 587.39 = 208.91 : x
  2. Step 2: Convert to fraction form
    391.38/587.39 = 208.91/x
  3. Step 3: Cross multiply
    391.38x = 587.39 × 208.91
  4. Step 4: Simplify right side
    391.38x = 122,707.66
  5. Step 5: Solve for x
    x = 122,707.66/391.38
  6. Step 6: Final answer
    x = 313.53

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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.