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Finding the Fourth Proportional to 273.18, 409.26 and 229.86

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Solution

The fourth proportional to 273.18, 409.26 and 229.86 is: 344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.18 : 409.26 = 229.86 : x
  2. Step 2: Convert to fraction form
    273.18/409.26 = 229.86/x
  3. Step 3: Cross multiply
    273.18x = 409.26 × 229.86
  4. Step 4: Simplify right side
    273.18x = 94,072.50
  5. Step 5: Solve for x
    x = 94,072.50/273.18
  6. Step 6: Final answer
    x = 344.36

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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.