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Finding the Fourth Proportional to 223.48, 334.77 and 162.73

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Solution

The fourth proportional to 223.48, 334.77 and 162.73 is: 243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 334.77 = 162.73 : x
  2. Step 2: Convert to fraction form
    223.48/334.77 = 162.73/x
  3. Step 3: Cross multiply
    223.48x = 334.77 × 162.73
  4. Step 4: Simplify right side
    223.48x = 54,477.12
  5. Step 5: Solve for x
    x = 54,477.12/223.48
  6. Step 6: Final answer
    x = 243.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.