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Finding the Fourth Proportional to 509.09, 763.09 and 216.53

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Solution

The fourth proportional to 509.09, 763.09 and 216.53 is: 324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.09 : 763.09 = 216.53 : x
  2. Step 2: Convert to fraction form
    509.09/763.09 = 216.53/x
  3. Step 3: Cross multiply
    509.09x = 763.09 × 216.53
  4. Step 4: Simplify right side
    509.09x = 165,231.88
  5. Step 5: Solve for x
    x = 165,231.88/509.09
  6. Step 6: Final answer
    x = 324.56

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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.