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Finding the Fourth Proportional to 537.64, 806.56 and 213.23

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Solution

The fourth proportional to 537.64, 806.56 and 213.23 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 806.56 = 213.23 : x
  2. Step 2: Convert to fraction form
    537.64/806.56 = 213.23/x
  3. Step 3: Cross multiply
    537.64x = 806.56 × 213.23
  4. Step 4: Simplify right side
    537.64x = 171,984.27
  5. Step 5: Solve for x
    x = 171,984.27/537.64
  6. Step 6: Final answer
    x = 319.89

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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.