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Finding the Fourth Proportional to 263.88, 361.91 and 257.81

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Solution

The fourth proportional to 263.88, 361.91 and 257.81 is: 353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 361.91 = 257.81 : x
  2. Step 2: Convert to fraction form
    263.88/361.91 = 257.81/x
  3. Step 3: Cross multiply
    263.88x = 361.91 × 257.81
  4. Step 4: Simplify right side
    263.88x = 93,302.85
  5. Step 5: Solve for x
    x = 93,302.85/263.88
  6. Step 6: Final answer
    x = 353.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.