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Finding the Fourth Proportional to 262.42, 391.97 and 218.80

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Solution

The fourth proportional to 262.42, 391.97 and 218.80 is: 326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.42 : 391.97 = 218.80 : x
  2. Step 2: Convert to fraction form
    262.42/391.97 = 218.80/x
  3. Step 3: Cross multiply
    262.42x = 391.97 × 218.80
  4. Step 4: Simplify right side
    262.42x = 85,763.04
  5. Step 5: Solve for x
    x = 85,763.04/262.42
  6. Step 6: Final answer
    x = 326.82

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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.