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Finding the Fourth Proportional to 288.24, 399.63 and 273.60

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Solution

The fourth proportional to 288.24, 399.63 and 273.60 is: 379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 399.63 = 273.60 : x
  2. Step 2: Convert to fraction form
    288.24/399.63 = 273.60/x
  3. Step 3: Cross multiply
    288.24x = 399.63 × 273.60
  4. Step 4: Simplify right side
    288.24x = 109,338.77
  5. Step 5: Solve for x
    x = 109,338.77/288.24
  6. Step 6: Final answer
    x = 379.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.