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Finding the Fourth Proportional to 273.16, 410.68 and 219.43

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Solution

The fourth proportional to 273.16, 410.68 and 219.43 is: 329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 410.68 = 219.43 : x
  2. Step 2: Convert to fraction form
    273.16/410.68 = 219.43/x
  3. Step 3: Cross multiply
    273.16x = 410.68 × 219.43
  4. Step 4: Simplify right side
    273.16x = 90,113.46
  5. Step 5: Solve for x
    x = 90,113.46/273.16
  6. Step 6: Final answer
    x = 329.90

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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.