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Finding the Fourth Proportional to 509.86, 764.88 and 217.35

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Solution

The fourth proportional to 509.86, 764.88 and 217.35 is: 326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 764.88 = 217.35 : x
  2. Step 2: Convert to fraction form
    509.86/764.88 = 217.35/x
  3. Step 3: Cross multiply
    509.86x = 764.88 × 217.35
  4. Step 4: Simplify right side
    509.86x = 166,248.03
  5. Step 5: Solve for x
    x = 166,248.03/509.86
  6. Step 6: Final answer
    x = 326.07

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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.