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Finding the Fourth Proportional to 263.41, 363.31 and 180.43

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Solution

The fourth proportional to 263.41, 363.31 and 180.43 is: 248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.41 : 363.31 = 180.43 : x
  2. Step 2: Convert to fraction form
    263.41/363.31 = 180.43/x
  3. Step 3: Cross multiply
    263.41x = 363.31 × 180.43
  4. Step 4: Simplify right side
    263.41x = 65,552.02
  5. Step 5: Solve for x
    x = 65,552.02/263.41
  6. Step 6: Final answer
    x = 248.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.