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Finding the Fourth Proportional to 260.88, 392.86 and 227.05

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Solution

The fourth proportional to 260.88, 392.86 and 227.05 is: 341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.88 : 392.86 = 227.05 : x
  2. Step 2: Convert to fraction form
    260.88/392.86 = 227.05/x
  3. Step 3: Cross multiply
    260.88x = 392.86 × 227.05
  4. Step 4: Simplify right side
    260.88x = 89,198.86
  5. Step 5: Solve for x
    x = 89,198.86/260.88
  6. Step 6: Final answer
    x = 341.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.