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Finding the Fourth Proportional to 359.08, 492.41 and 320.20

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Solution

The fourth proportional to 359.08, 492.41 and 320.20 is: 439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 492.41 = 320.20 : x
  2. Step 2: Convert to fraction form
    359.08/492.41 = 320.20/x
  3. Step 3: Cross multiply
    359.08x = 492.41 × 320.20
  4. Step 4: Simplify right side
    359.08x = 157,669.68
  5. Step 5: Solve for x
    x = 157,669.68/359.08
  6. Step 6: Final answer
    x = 439.09

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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.