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Finding the Fourth Proportional to 225.53, 309.83 and 183.97

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Solution

The fourth proportional to 225.53, 309.83 and 183.97 is: 252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 309.83 = 183.97 : x
  2. Step 2: Convert to fraction form
    225.53/309.83 = 183.97/x
  3. Step 3: Cross multiply
    225.53x = 309.83 × 183.97
  4. Step 4: Simplify right side
    225.53x = 56,998.89
  5. Step 5: Solve for x
    x = 56,998.89/225.53
  6. Step 6: Final answer
    x = 252.73

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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.