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Finding the Fourth Proportional to 362.36, 500.09 and 231.63

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Solution

The fourth proportional to 362.36, 500.09 and 231.63 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.36 : 500.09 = 231.63 : x
  2. Step 2: Convert to fraction form
    362.36/500.09 = 231.63/x
  3. Step 3: Cross multiply
    362.36x = 500.09 × 231.63
  4. Step 4: Simplify right side
    362.36x = 115,834.69
  5. Step 5: Solve for x
    x = 115,834.69/362.36
  6. Step 6: Final answer
    x = 319.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.