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Finding the Fourth Proportional to 273.06, 407.88 and 204.21

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Solution

The fourth proportional to 273.06, 407.88 and 204.21 is: 305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.06 : 407.88 = 204.21 : x
  2. Step 2: Convert to fraction form
    273.06/407.88 = 204.21/x
  3. Step 3: Cross multiply
    273.06x = 407.88 × 204.21
  4. Step 4: Simplify right side
    273.06x = 83,293.17
  5. Step 5: Solve for x
    x = 83,293.17/273.06
  6. Step 6: Final answer
    x = 305.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.