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Finding the Fourth Proportional to 260.46, 392.04 and 217.44

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Solution

The fourth proportional to 260.46, 392.04 and 217.44 is: 327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.46 : 392.04 = 217.44 : x
  2. Step 2: Convert to fraction form
    260.46/392.04 = 217.44/x
  3. Step 3: Cross multiply
    260.46x = 392.04 × 217.44
  4. Step 4: Simplify right side
    260.46x = 85,245.18
  5. Step 5: Solve for x
    x = 85,245.18/260.46
  6. Step 6: Final answer
    x = 327.29

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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.