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Finding the Fourth Proportional to 263.61, 363.92 and 180.75

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Solution

The fourth proportional to 263.61, 363.92 and 180.75 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.61 : 363.92 = 180.75 : x
  2. Step 2: Convert to fraction form
    263.61/363.92 = 180.75/x
  3. Step 3: Cross multiply
    263.61x = 363.92 × 180.75
  4. Step 4: Simplify right side
    263.61x = 65,777.64
  5. Step 5: Solve for x
    x = 65,777.64/263.61
  6. Step 6: Final answer
    x = 249.53

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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.