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Finding the Fourth Proportional to 509.74, 764.76 and 217.28

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Solution

The fourth proportional to 509.74, 764.76 and 217.28 is: 325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 764.76 = 217.28 : x
  2. Step 2: Convert to fraction form
    509.74/764.76 = 217.28/x
  3. Step 3: Cross multiply
    509.74x = 764.76 × 217.28
  4. Step 4: Simplify right side
    509.74x = 166,167.05
  5. Step 5: Solve for x
    x = 166,167.05/509.74
  6. Step 6: Final answer
    x = 325.98

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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.