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Finding the Fourth Proportional to 509.96, 764.69 and 217.35

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Solution

The fourth proportional to 509.96, 764.69 and 217.35 is: 325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.96 : 764.69 = 217.35 : x
  2. Step 2: Convert to fraction form
    509.96/764.69 = 217.35/x
  3. Step 3: Cross multiply
    509.96x = 764.69 × 217.35
  4. Step 4: Simplify right side
    509.96x = 166,204.28
  5. Step 5: Solve for x
    x = 166,204.28/509.96
  6. Step 6: Final answer
    x = 325.92

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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.