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Finding the Fourth Proportional to 359.49, 496.43 and 286.13

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Solution

The fourth proportional to 359.49, 496.43 and 286.13 is: 395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.49 : 496.43 = 286.13 : x
  2. Step 2: Convert to fraction form
    359.49/496.43 = 286.13/x
  3. Step 3: Cross multiply
    359.49x = 496.43 × 286.13
  4. Step 4: Simplify right side
    359.49x = 142,044.40
  5. Step 5: Solve for x
    x = 142,044.40/359.49
  6. Step 6: Final answer
    x = 395.13

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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.