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Finding the Fourth Proportional to 273.64, 409.80 and 129.40

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Solution

The fourth proportional to 273.64, 409.80 and 129.40 is: 193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.64 : 409.80 = 129.40 : x
  2. Step 2: Convert to fraction form
    273.64/409.80 = 129.40/x
  3. Step 3: Cross multiply
    273.64x = 409.80 × 129.40
  4. Step 4: Simplify right side
    273.64x = 53,028.12
  5. Step 5: Solve for x
    x = 53,028.12/273.64
  6. Step 6: Final answer
    x = 193.79

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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.