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Finding the Fourth Proportional to 223.80, 335.19 and 162.75

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Solution

The fourth proportional to 223.80, 335.19 and 162.75 is: 243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.80 : 335.19 = 162.75 : x
  2. Step 2: Convert to fraction form
    223.80/335.19 = 162.75/x
  3. Step 3: Cross multiply
    223.80x = 335.19 × 162.75
  4. Step 4: Simplify right side
    223.80x = 54,552.17
  5. Step 5: Solve for x
    x = 54,552.17/223.80
  6. Step 6: Final answer
    x = 243.75

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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.