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Finding the Fourth Proportional to 273.59, 374.81 and 263.19

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Solution

The fourth proportional to 273.59, 374.81 and 263.19 is: 360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.59 : 374.81 = 263.19 : x
  2. Step 2: Convert to fraction form
    273.59/374.81 = 263.19/x
  3. Step 3: Cross multiply
    273.59x = 374.81 × 263.19
  4. Step 4: Simplify right side
    273.59x = 98,645.50
  5. Step 5: Solve for x
    x = 98,645.50/273.59
  6. Step 6: Final answer
    x = 360.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.