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Finding the Fourth Proportional to 509.35, 764.22 and 184.75

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Solution

The fourth proportional to 509.35, 764.22 and 184.75 is: 277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.35 : 764.22 = 184.75 : x
  2. Step 2: Convert to fraction form
    509.35/764.22 = 184.75/x
  3. Step 3: Cross multiply
    509.35x = 764.22 × 184.75
  4. Step 4: Simplify right side
    509.35x = 141,189.65
  5. Step 5: Solve for x
    x = 141,189.65/509.35
  6. Step 6: Final answer
    x = 277.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.