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Finding the Fourth Proportional to 509.11, 763.77 and 216.59

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Solution

The fourth proportional to 509.11, 763.77 and 216.59 is: 324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 763.77 = 216.59 : x
  2. Step 2: Convert to fraction form
    509.11/763.77 = 216.59/x
  3. Step 3: Cross multiply
    509.11x = 763.77 × 216.59
  4. Step 4: Simplify right side
    509.11x = 165,424.94
  5. Step 5: Solve for x
    x = 165,424.94/509.11
  6. Step 6: Final answer
    x = 324.93

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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.