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Finding the Fourth Proportional to 391.81, 587.30 and 186.07

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Solution

The fourth proportional to 391.81, 587.30 and 186.07 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.81 : 587.30 = 186.07 : x
  2. Step 2: Convert to fraction form
    391.81/587.30 = 186.07/x
  3. Step 3: Cross multiply
    391.81x = 587.30 × 186.07
  4. Step 4: Simplify right side
    391.81x = 109,276.44
  5. Step 5: Solve for x
    x = 109,276.44/391.81
  6. Step 6: Final answer
    x = 278.91

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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.