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Finding the Fourth Proportional to 359.80, 496.42 and 276.75

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Solution

The fourth proportional to 359.80, 496.42 and 276.75 is: 381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 496.42 = 276.75 : x
  2. Step 2: Convert to fraction form
    359.80/496.42 = 276.75/x
  3. Step 3: Cross multiply
    359.80x = 496.42 × 276.75
  4. Step 4: Simplify right side
    359.80x = 137,384.24
  5. Step 5: Solve for x
    x = 137,384.24/359.80
  6. Step 6: Final answer
    x = 381.84

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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.