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Finding the Fourth Proportional to 391.82, 587.51 and 186.43

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Solution

The fourth proportional to 391.82, 587.51 and 186.43 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.82 : 587.51 = 186.43 : x
  2. Step 2: Convert to fraction form
    391.82/587.51 = 186.43/x
  3. Step 3: Cross multiply
    391.82x = 587.51 × 186.43
  4. Step 4: Simplify right side
    391.82x = 109,529.49
  5. Step 5: Solve for x
    x = 109,529.49/391.82
  6. Step 6: Final answer
    x = 279.54

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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.