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Finding the Fourth Proportional to 359.03, 494.28 and 280.24

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Solution

The fourth proportional to 359.03, 494.28 and 280.24 is: 385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.03 : 494.28 = 280.24 : x
  2. Step 2: Convert to fraction form
    359.03/494.28 = 280.24/x
  3. Step 3: Cross multiply
    359.03x = 494.28 × 280.24
  4. Step 4: Simplify right side
    359.03x = 138,517.03
  5. Step 5: Solve for x
    x = 138,517.03/359.03
  6. Step 6: Final answer
    x = 385.81

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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.