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Finding the Fourth Proportional to 509.43, 764.24 and 216.93

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Solution

The fourth proportional to 509.43, 764.24 and 216.93 is: 325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.43 : 764.24 = 216.93 : x
  2. Step 2: Convert to fraction form
    509.43/764.24 = 216.93/x
  3. Step 3: Cross multiply
    509.43x = 764.24 × 216.93
  4. Step 4: Simplify right side
    509.43x = 165,787.13
  5. Step 5: Solve for x
    x = 165,787.13/509.43
  6. Step 6: Final answer
    x = 325.44

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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.