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Finding the Fourth Proportional to 509.91, 764.26 and 217.32

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Solution

The fourth proportional to 509.91, 764.26 and 217.32 is: 325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 764.26 = 217.32 : x
  2. Step 2: Convert to fraction form
    509.91/764.26 = 217.32/x
  3. Step 3: Cross multiply
    509.91x = 764.26 × 217.32
  4. Step 4: Simplify right side
    509.91x = 166,088.98
  5. Step 5: Solve for x
    x = 166,088.98/509.91
  6. Step 6: Final answer
    x = 325.72

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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.