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Finding the Fourth Proportional to 359.32, 495.44 and 248.92

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Solution

The fourth proportional to 359.32, 495.44 and 248.92 is: 343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.32 : 495.44 = 248.92 : x
  2. Step 2: Convert to fraction form
    359.32/495.44 = 248.92/x
  3. Step 3: Cross multiply
    359.32x = 495.44 × 248.92
  4. Step 4: Simplify right side
    359.32x = 123,324.92
  5. Step 5: Solve for x
    x = 123,324.92/359.32
  6. Step 6: Final answer
    x = 343.22

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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.