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Finding the Fourth Proportional to 288.40, 431.97 and 236.92

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Solution

The fourth proportional to 288.40, 431.97 and 236.92 is: 354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.40 : 431.97 = 236.92 : x
  2. Step 2: Convert to fraction form
    288.40/431.97 = 236.92/x
  3. Step 3: Cross multiply
    288.40x = 431.97 × 236.92
  4. Step 4: Simplify right side
    288.40x = 102,342.33
  5. Step 5: Solve for x
    x = 102,342.33/288.40
  6. Step 6: Final answer
    x = 354.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.