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Finding the Fourth Proportional to 536.09, 804.32 and 227.81

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Solution

The fourth proportional to 536.09, 804.32 and 227.81 is: 341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.09 : 804.32 = 227.81 : x
  2. Step 2: Convert to fraction form
    536.09/804.32 = 227.81/x
  3. Step 3: Cross multiply
    536.09x = 804.32 × 227.81
  4. Step 4: Simplify right side
    536.09x = 183,231.00
  5. Step 5: Solve for x
    x = 183,231.00/536.09
  6. Step 6: Final answer
    x = 341.79

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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.