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Finding the Fourth Proportional to 359.69, 493.13 and 353.21

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Solution

The fourth proportional to 359.69, 493.13 and 353.21 is: 484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.69 : 493.13 = 353.21 : x
  2. Step 2: Convert to fraction form
    359.69/493.13 = 353.21/x
  3. Step 3: Cross multiply
    359.69x = 493.13 × 353.21
  4. Step 4: Simplify right side
    359.69x = 174,178.45
  5. Step 5: Solve for x
    x = 174,178.45/359.69
  6. Step 6: Final answer
    x = 484.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.