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Finding the Fourth Proportional to 263.46, 394.52 and 171.89

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Solution

The fourth proportional to 263.46, 394.52 and 171.89 is: 257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.46 : 394.52 = 171.89 : x
  2. Step 2: Convert to fraction form
    263.46/394.52 = 171.89/x
  3. Step 3: Cross multiply
    263.46x = 394.52 × 171.89
  4. Step 4: Simplify right side
    263.46x = 67,811.21
  5. Step 5: Solve for x
    x = 67,811.21/263.46
  6. Step 6: Final answer
    x = 257.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.