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Finding the Fourth Proportional to 225.87, 311.65 and 137.33

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Solution

The fourth proportional to 225.87, 311.65 and 137.33 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.87 : 311.65 = 137.33 : x
  2. Step 2: Convert to fraction form
    225.87/311.65 = 137.33/x
  3. Step 3: Cross multiply
    225.87x = 311.65 × 137.33
  4. Step 4: Simplify right side
    225.87x = 42,796.65
  5. Step 5: Solve for x
    x = 42,796.65/225.87
  6. Step 6: Final answer
    x = 189.48

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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.