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Finding the Fourth Proportional to 359.91, 496.80 and 286.74

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Solution

The fourth proportional to 359.91, 496.80 and 286.74 is: 395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 496.80 = 286.74 : x
  2. Step 2: Convert to fraction form
    359.91/496.80 = 286.74/x
  3. Step 3: Cross multiply
    359.91x = 496.80 × 286.74
  4. Step 4: Simplify right side
    359.91x = 142,452.43
  5. Step 5: Solve for x
    x = 142,452.43/359.91
  6. Step 6: Final answer
    x = 395.80

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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.