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Finding the Fourth Proportional to 509.89, 764.85 and 221.32

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Solution

The fourth proportional to 509.89, 764.85 and 221.32 is: 331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.89 : 764.85 = 221.32 : x
  2. Step 2: Convert to fraction form
    509.89/764.85 = 221.32/x
  3. Step 3: Cross multiply
    509.89x = 764.85 × 221.32
  4. Step 4: Simplify right side
    509.89x = 169,276.60
  5. Step 5: Solve for x
    x = 169,276.60/509.89
  6. Step 6: Final answer
    x = 331.99

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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.