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Finding the Fourth Proportional to 260.58, 392.41 and 226.75

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Solution

The fourth proportional to 260.58, 392.41 and 226.75 is: 341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.58 : 392.41 = 226.75 : x
  2. Step 2: Convert to fraction form
    260.58/392.41 = 226.75/x
  3. Step 3: Cross multiply
    260.58x = 392.41 × 226.75
  4. Step 4: Simplify right side
    260.58x = 88,980.75
  5. Step 5: Solve for x
    x = 88,980.75/260.58
  6. Step 6: Final answer
    x = 341.47

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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.