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Finding the Fourth Proportional to 391.72, 587.74 and 186.47

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Solution

The fourth proportional to 391.72, 587.74 and 186.47 is: 279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.72 : 587.74 = 186.47 : x
  2. Step 2: Convert to fraction form
    391.72/587.74 = 186.47/x
  3. Step 3: Cross multiply
    391.72x = 587.74 × 186.47
  4. Step 4: Simplify right side
    391.72x = 109,595.03
  5. Step 5: Solve for x
    x = 109,595.03/391.72
  6. Step 6: Final answer
    x = 279.78

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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.