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Finding the Fourth Proportional to 225.96, 311.64 and 160.44

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Solution

The fourth proportional to 225.96, 311.64 and 160.44 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.96 : 311.64 = 160.44 : x
  2. Step 2: Convert to fraction form
    225.96/311.64 = 160.44/x
  3. Step 3: Cross multiply
    225.96x = 311.64 × 160.44
  4. Step 4: Simplify right side
    225.96x = 49,999.52
  5. Step 5: Solve for x
    x = 49,999.52/225.96
  6. Step 6: Final answer
    x = 221.28

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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.