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Finding the Fourth Proportional to 273.63, 410.45 and 68.20

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Solution

The fourth proportional to 273.63, 410.45 and 68.20 is: 102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.63 : 410.45 = 68.20 : x
  2. Step 2: Convert to fraction form
    273.63/410.45 = 68.20/x
  3. Step 3: Cross multiply
    273.63x = 410.45 × 68.20
  4. Step 4: Simplify right side
    273.63x = 27,992.69
  5. Step 5: Solve for x
    x = 27,992.69/273.63
  6. Step 6: Final answer
    x = 102.30

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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.