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Finding the Fourth Proportional to 537.59, 806.57 and 229.31

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Solution

The fourth proportional to 537.59, 806.57 and 229.31 is: 344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.59 : 806.57 = 229.31 : x
  2. Step 2: Convert to fraction form
    537.59/806.57 = 229.31/x
  3. Step 3: Cross multiply
    537.59x = 806.57 × 229.31
  4. Step 4: Simplify right side
    537.59x = 184,954.57
  5. Step 5: Solve for x
    x = 184,954.57/537.59
  6. Step 6: Final answer
    x = 344.04

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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.