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Finding the Fourth Proportional to 288.82, 433.23 and 203.86

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Solution

The fourth proportional to 288.82, 433.23 and 203.86 is: 305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.82 : 433.23 = 203.86 : x
  2. Step 2: Convert to fraction form
    288.82/433.23 = 203.86/x
  3. Step 3: Cross multiply
    288.82x = 433.23 × 203.86
  4. Step 4: Simplify right side
    288.82x = 88,318.27
  5. Step 5: Solve for x
    x = 88,318.27/288.82
  6. Step 6: Final answer
    x = 305.79

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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.