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Finding the Fourth Proportional to 273.52, 409.84 and 129.12

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Solution

The fourth proportional to 273.52, 409.84 and 129.12 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.52 : 409.84 = 129.12 : x
  2. Step 2: Convert to fraction form
    273.52/409.84 = 129.12/x
  3. Step 3: Cross multiply
    273.52x = 409.84 × 129.12
  4. Step 4: Simplify right side
    273.52x = 52,918.54
  5. Step 5: Solve for x
    x = 52,918.54/273.52
  6. Step 6: Final answer
    x = 193.47

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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.