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Finding the Fourth Proportional to 359.82, 499.10 and 350.34

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Solution

The fourth proportional to 359.82, 499.10 and 350.34 is: 485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 499.10 = 350.34 : x
  2. Step 2: Convert to fraction form
    359.82/499.10 = 350.34/x
  3. Step 3: Cross multiply
    359.82x = 499.10 × 350.34
  4. Step 4: Simplify right side
    359.82x = 174,854.69
  5. Step 5: Solve for x
    x = 174,854.69/359.82
  6. Step 6: Final answer
    x = 485.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.