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Finding the Fourth Proportional to 350.80, 484.14 and 224.74

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Solution

The fourth proportional to 350.80, 484.14 and 224.74 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.80 : 484.14 = 224.74 : x
  2. Step 2: Convert to fraction form
    350.80/484.14 = 224.74/x
  3. Step 3: Cross multiply
    350.80x = 484.14 × 224.74
  4. Step 4: Simplify right side
    350.80x = 108,805.62
  5. Step 5: Solve for x
    x = 108,805.62/350.80
  6. Step 6: Final answer
    x = 310.16

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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.