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Finding the Fourth Proportional to 391.65, 587.63 and 186.31

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Solution

The fourth proportional to 391.65, 587.63 and 186.31 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.65 : 587.63 = 186.31 : x
  2. Step 2: Convert to fraction form
    391.65/587.63 = 186.31/x
  3. Step 3: Cross multiply
    391.65x = 587.63 × 186.31
  4. Step 4: Simplify right side
    391.65x = 109,481.35
  5. Step 5: Solve for x
    x = 109,481.35/391.65
  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.