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Finding the Fourth Proportional to 359.24, 494.54 and 322.39

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Solution

The fourth proportional to 359.24, 494.54 and 322.39 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 494.54 = 322.39 : x
  2. Step 2: Convert to fraction form
    359.24/494.54 = 322.39/x
  3. Step 3: Cross multiply
    359.24x = 494.54 × 322.39
  4. Step 4: Simplify right side
    359.24x = 159,433.11
  5. Step 5: Solve for x
    x = 159,433.11/359.24
  6. Step 6: Final answer
    x = 443.80

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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.