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Finding the Fourth Proportional to 359.04, 494.50 and 331.71

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Solution

The fourth proportional to 359.04, 494.50 and 331.71 is: 456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.04 : 494.50 = 331.71 : x
  2. Step 2: Convert to fraction form
    359.04/494.50 = 331.71/x
  3. Step 3: Cross multiply
    359.04x = 494.50 × 331.71
  4. Step 4: Simplify right side
    359.04x = 164,029.16
  5. Step 5: Solve for x
    x = 164,029.16/359.04
  6. Step 6: Final answer
    x = 456.85

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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.