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Finding the Fourth Proportional to 305.96, 456.58 and 273.56

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Solution

The fourth proportional to 305.96, 456.58 and 273.56 is: 408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 456.58 = 273.56 : x
  2. Step 2: Convert to fraction form
    305.96/456.58 = 273.56/x
  3. Step 3: Cross multiply
    305.96x = 456.58 × 273.56
  4. Step 4: Simplify right side
    305.96x = 124,902.02
  5. Step 5: Solve for x
    x = 124,902.02/305.96
  6. Step 6: Final answer
    x = 408.23

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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.