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Finding the Fourth Proportional to 359.20, 499.04 and 354.88

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Solution

The fourth proportional to 359.20, 499.04 and 354.88 is: 493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.20 : 499.04 = 354.88 : x
  2. Step 2: Convert to fraction form
    359.20/499.04 = 354.88/x
  3. Step 3: Cross multiply
    359.20x = 499.04 × 354.88
  4. Step 4: Simplify right side
    359.20x = 177,096.29
  5. Step 5: Solve for x
    x = 177,096.29/359.20
  6. Step 6: Final answer
    x = 493.03

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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.