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Finding the Fourth Proportional to 429.09, 591.96 and 273.75

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Solution

The fourth proportional to 429.09, 591.96 and 273.75 is: 377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 591.96 = 273.75 : x
  2. Step 2: Convert to fraction form
    429.09/591.96 = 273.75/x
  3. Step 3: Cross multiply
    429.09x = 591.96 × 273.75
  4. Step 4: Simplify right side
    429.09x = 162,049.05
  5. Step 5: Solve for x
    x = 162,049.05/429.09
  6. Step 6: Final answer
    x = 377.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.