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Finding the Fourth Proportional to 260.53, 391.06 and 217.49

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Solution

The fourth proportional to 260.53, 391.06 and 217.49 is: 326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.53 : 391.06 = 217.49 : x
  2. Step 2: Convert to fraction form
    260.53/391.06 = 217.49/x
  3. Step 3: Cross multiply
    260.53x = 391.06 × 217.49
  4. Step 4: Simplify right side
    260.53x = 85,049.96
  5. Step 5: Solve for x
    x = 85,049.96/260.53
  6. Step 6: Final answer
    x = 326.45

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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.