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Finding the Fourth Proportional to 422.06, 633.09 and 337.10

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Solution

The fourth proportional to 422.06, 633.09 and 337.10 is: 505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 633.09 = 337.10 : x
  2. Step 2: Convert to fraction form
    422.06/633.09 = 337.10/x
  3. Step 3: Cross multiply
    422.06x = 633.09 × 337.10
  4. Step 4: Simplify right side
    422.06x = 213,414.64
  5. Step 5: Solve for x
    x = 213,414.64/422.06
  6. Step 6: Final answer
    x = 505.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.