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Finding the Fourth Proportional to 392.09, 587.52 and 227.15

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Solution

The fourth proportional to 392.09, 587.52 and 227.15 is: 340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.09 : 587.52 = 227.15 : x
  2. Step 2: Convert to fraction form
    392.09/587.52 = 227.15/x
  3. Step 3: Cross multiply
    392.09x = 587.52 × 227.15
  4. Step 4: Simplify right side
    392.09x = 133,452.23
  5. Step 5: Solve for x
    x = 133,452.23/392.09
  6. Step 6: Final answer
    x = 340.37

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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.