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Finding the Fourth Proportional to 291.94, 436.83 and 234.43

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Solution

The fourth proportional to 291.94, 436.83 and 234.43 is: 350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 436.83 = 234.43 : x
  2. Step 2: Convert to fraction form
    291.94/436.83 = 234.43/x
  3. Step 3: Cross multiply
    291.94x = 436.83 × 234.43
  4. Step 4: Simplify right side
    291.94x = 102,406.06
  5. Step 5: Solve for x
    x = 102,406.06/291.94
  6. Step 6: Final answer
    x = 350.78

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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.