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Finding the Fourth Proportional to 359.82, 495.44 and 281.46

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Solution

The fourth proportional to 359.82, 495.44 and 281.46 is: 387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 495.44 = 281.46 : x
  2. Step 2: Convert to fraction form
    359.82/495.44 = 281.46/x
  3. Step 3: Cross multiply
    359.82x = 495.44 × 281.46
  4. Step 4: Simplify right side
    359.82x = 139,446.54
  5. Step 5: Solve for x
    x = 139,446.54/359.82
  6. Step 6: Final answer
    x = 387.55

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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.