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Finding the Fourth Proportional to 225.74, 311.51 and 122.24

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Solution

The fourth proportional to 225.74, 311.51 and 122.24 is: 168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 311.51 = 122.24 : x
  2. Step 2: Convert to fraction form
    225.74/311.51 = 122.24/x
  3. Step 3: Cross multiply
    225.74x = 311.51 × 122.24
  4. Step 4: Simplify right side
    225.74x = 38,077.88
  5. Step 5: Solve for x
    x = 38,077.88/225.74
  6. Step 6: Final answer
    x = 168.68

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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.