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Finding the Fourth Proportional to 537.51, 806.57 and 229.33

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Solution

The fourth proportional to 537.51, 806.57 and 229.33 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.51 : 806.57 = 229.33 : x
  2. Step 2: Convert to fraction form
    537.51/806.57 = 229.33/x
  3. Step 3: Cross multiply
    537.51x = 806.57 × 229.33
  4. Step 4: Simplify right side
    537.51x = 184,967.54
  5. Step 5: Solve for x
    x = 184,967.54/537.51
  6. Step 6: Final answer
    x = 344.12

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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.