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Finding the Fourth Proportional to 273.89, 410.83 and 78.89

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Solution

The fourth proportional to 273.89, 410.83 and 78.89 is: 118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.89 : 410.83 = 78.89 : x
  2. Step 2: Convert to fraction form
    273.89/410.83 = 78.89/x
  3. Step 3: Cross multiply
    273.89x = 410.83 × 78.89
  4. Step 4: Simplify right side
    273.89x = 32,410.38
  5. Step 5: Solve for x
    x = 32,410.38/273.89
  6. Step 6: Final answer
    x = 118.33

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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.