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Finding the Fourth Proportional to 260.76, 389.67 and 227.96

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Solution

The fourth proportional to 260.76, 389.67 and 227.96 is: 340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 389.67 = 227.96 : x
  2. Step 2: Convert to fraction form
    260.76/389.67 = 227.96/x
  3. Step 3: Cross multiply
    260.76x = 389.67 × 227.96
  4. Step 4: Simplify right side
    260.76x = 88,829.17
  5. Step 5: Solve for x
    x = 88,829.17/260.76
  6. Step 6: Final answer
    x = 340.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.