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Finding the Fourth Proportional to 391.26, 587.09 and 360.28

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Solution

The fourth proportional to 391.26, 587.09 and 360.28 is: 540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.26 : 587.09 = 360.28 : x
  2. Step 2: Convert to fraction form
    391.26/587.09 = 360.28/x
  3. Step 3: Cross multiply
    391.26x = 587.09 × 360.28
  4. Step 4: Simplify right side
    391.26x = 211,516.79
  5. Step 5: Solve for x
    x = 211,516.79/391.26
  6. Step 6: Final answer
    x = 540.60

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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.