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Finding the Fourth Proportional to 422.06, 579.93 and 344.30

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Solution

The fourth proportional to 422.06, 579.93 and 344.30 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 579.93 = 344.30 : x
  2. Step 2: Convert to fraction form
    422.06/579.93 = 344.30/x
  3. Step 3: Cross multiply
    422.06x = 579.93 × 344.30
  4. Step 4: Simplify right side
    422.06x = 199,668.18
  5. Step 5: Solve for x
    x = 199,668.18/422.06
  6. Step 6: Final answer
    x = 473.08

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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.