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Finding the Fourth Proportional to 509.89, 764.38 and 185.03

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Solution

The fourth proportional to 509.89, 764.38 and 185.03 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.89 : 764.38 = 185.03 : x
  2. Step 2: Convert to fraction form
    509.89/764.38 = 185.03/x
  3. Step 3: Cross multiply
    509.89x = 764.38 × 185.03
  4. Step 4: Simplify right side
    509.89x = 141,435.14
  5. Step 5: Solve for x
    x = 141,435.14/509.89
  6. Step 6: Final answer
    x = 277.38

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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.