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Finding the Fourth Proportional to 262.44, 391.89 and 213.76

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Solution

The fourth proportional to 262.44, 391.89 and 213.76 is: 319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.44 : 391.89 = 213.76 : x
  2. Step 2: Convert to fraction form
    262.44/391.89 = 213.76/x
  3. Step 3: Cross multiply
    262.44x = 391.89 × 213.76
  4. Step 4: Simplify right side
    262.44x = 83,770.41
  5. Step 5: Solve for x
    x = 83,770.41/262.44
  6. Step 6: Final answer
    x = 319.20

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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.