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Finding the Fourth Proportional to 225.23, 309.49 and 183.69

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Solution

The fourth proportional to 225.23, 309.49 and 183.69 is: 252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.23 : 309.49 = 183.69 : x
  2. Step 2: Convert to fraction form
    225.23/309.49 = 183.69/x
  3. Step 3: Cross multiply
    225.23x = 309.49 × 183.69
  4. Step 4: Simplify right side
    225.23x = 56,850.22
  5. Step 5: Solve for x
    x = 56,850.22/225.23
  6. Step 6: Final answer
    x = 252.41

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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.