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Finding the Fourth Proportional to 273.12, 409.80 and 205.20

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Solution

The fourth proportional to 273.12, 409.80 and 205.20 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.12 : 409.80 = 205.20 : x
  2. Step 2: Convert to fraction form
    273.12/409.80 = 205.20/x
  3. Step 3: Cross multiply
    273.12x = 409.80 × 205.20
  4. Step 4: Simplify right side
    273.12x = 84,090.96
  5. Step 5: Solve for x
    x = 84,090.96/273.12
  6. Step 6: Final answer
    x = 307.89

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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.