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Finding the Fourth Proportional to 243.12, 363.96 and 185.56

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Solution

The fourth proportional to 243.12, 363.96 and 185.56 is: 277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.12 : 363.96 = 185.56 : x
  2. Step 2: Convert to fraction form
    243.12/363.96 = 185.56/x
  3. Step 3: Cross multiply
    243.12x = 363.96 × 185.56
  4. Step 4: Simplify right side
    243.12x = 67,535.51
  5. Step 5: Solve for x
    x = 67,535.51/243.12
  6. Step 6: Final answer
    x = 277.78

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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.