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Finding the Fourth Proportional to 225.05, 336.42 and 166.73

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Solution

The fourth proportional to 225.05, 336.42 and 166.73 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.05 : 336.42 = 166.73 : x
  2. Step 2: Convert to fraction form
    225.05/336.42 = 166.73/x
  3. Step 3: Cross multiply
    225.05x = 336.42 × 166.73
  4. Step 4: Simplify right side
    225.05x = 56,089.62
  5. Step 5: Solve for x
    x = 56,089.62/225.05
  6. Step 6: Final answer
    x = 249.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.