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Finding the Fourth Proportional to 359.11, 495.37 and 231.13

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Solution

The fourth proportional to 359.11, 495.37 and 231.13 is: 318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.11 : 495.37 = 231.13 : x
  2. Step 2: Convert to fraction form
    359.11/495.37 = 231.13/x
  3. Step 3: Cross multiply
    359.11x = 495.37 × 231.13
  4. Step 4: Simplify right side
    359.11x = 114,493.08
  5. Step 5: Solve for x
    x = 114,493.08/359.11
  6. Step 6: Final answer
    x = 318.83

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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.