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Finding the Fourth Proportional to 269.88, 405.24 and 161.88

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Solution

The fourth proportional to 269.88, 405.24 and 161.88 is: 243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.88 : 405.24 = 161.88 : x
  2. Step 2: Convert to fraction form
    269.88/405.24 = 161.88/x
  3. Step 3: Cross multiply
    269.88x = 405.24 × 161.88
  4. Step 4: Simplify right side
    269.88x = 65,600.25
  5. Step 5: Solve for x
    x = 65,600.25/269.88
  6. Step 6: Final answer
    x = 243.07

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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.