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Finding the Fourth Proportional to 263.38, 391.73 and 257.91

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Solution

The fourth proportional to 263.38, 391.73 and 257.91 is: 383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.38 : 391.73 = 257.91 : x
  2. Step 2: Convert to fraction form
    263.38/391.73 = 257.91/x
  3. Step 3: Cross multiply
    263.38x = 391.73 × 257.91
  4. Step 4: Simplify right side
    263.38x = 101,029.79
  5. Step 5: Solve for x
    x = 101,029.79/263.38
  6. Step 6: Final answer
    x = 383.59

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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.