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Finding the Fourth Proportional to 225.79, 312.41 and 196.75

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Solution

The fourth proportional to 225.79, 312.41 and 196.75 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.79 : 312.41 = 196.75 : x
  2. Step 2: Convert to fraction form
    225.79/312.41 = 196.75/x
  3. Step 3: Cross multiply
    225.79x = 312.41 × 196.75
  4. Step 4: Simplify right side
    225.79x = 61,464.69
  5. Step 5: Solve for x
    x = 61,464.69/225.79
  6. Step 6: Final answer
    x = 272.22

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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.