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Finding the Fourth Proportional to 262.59, 391.10 and 257.73

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Solution

The fourth proportional to 262.59, 391.10 and 257.73 is: 383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.59 : 391.10 = 257.73 : x
  2. Step 2: Convert to fraction form
    262.59/391.10 = 257.73/x
  3. Step 3: Cross multiply
    262.59x = 391.10 × 257.73
  4. Step 4: Simplify right side
    262.59x = 100,796.91
  5. Step 5: Solve for x
    x = 100,796.91/262.59
  6. Step 6: Final answer
    x = 383.86

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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.